In the following exercises, determine the type of polynomial. 342. 16 x 2 − 40 x − 25

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 5, Problem 342RE

In the following exercises, determine the type of polynomial.

342. 16 x 2 − 40 x − 25

Expert Solution

To determine

(a)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Trinomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 11c4−23c2+1.

Since, given polynomial has three terms.

Therefore, we can say that given polynomial is trinomial.

Expert Solution

To determine

(b)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Polynomial.

Explanation of Solution

Given information:

A polynomial is given as 9p3+6p2−p−5.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 9p3+6p2−p−5.

Since, given polynomial has more than three terms.

Therefore, we can say that given polynomial is other polynomial.

Expert Solution

To determine

(c)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 37x+514.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Expert Solution

To determine

(d)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Monomial.

Explanation of Solution

Given information:

A polynomial is given as 10.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 10.

Since, given polynomial has only one term.

Therefore, we can say that given polynomial is monomial.

Expert Solution

To determine

(e)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 2y−12.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 2y−12.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Safari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [

So confused. Step by step instructions please

In simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)

Answer 2

Textbook Question

Chapter 5, Problem 342RE

In the following exercises, determine the type of polynomial.

342. 16 x 2 − 40 x − 25

Expert Solution

To determine

(a)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Trinomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 11c4−23c2+1.

Since, given polynomial has three terms.

Therefore, we can say that given polynomial is trinomial.

Expert Solution

To determine

(b)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Polynomial.

Explanation of Solution

Given information:

A polynomial is given as 9p3+6p2−p−5.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 9p3+6p2−p−5.

Since, given polynomial has more than three terms.

Therefore, we can say that given polynomial is other polynomial.

Expert Solution

To determine

(c)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 37x+514.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Expert Solution

To determine

(d)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Monomial.

Explanation of Solution

Given information:

A polynomial is given as 10.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 10.

Since, given polynomial has only one term.

Therefore, we can say that given polynomial is monomial.

Expert Solution

To determine

(e)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 2y−12.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 2y−12.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 5, Problem 342RE

In the following exercises, determine the type of polynomial.

342. 16 x 2 − 40 x − 25

Expert Solution

To determine

(a)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Trinomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 11c4−23c2+1.

Since, given polynomial has three terms.

Therefore, we can say that given polynomial is trinomial.

Expert Solution

To determine

(b)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Polynomial.

Explanation of Solution

Given information:

A polynomial is given as 9p3+6p2−p−5.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 9p3+6p2−p−5.

Since, given polynomial has more than three terms.

Therefore, we can say that given polynomial is other polynomial.

Expert Solution

To determine

(c)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 37x+514.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Expert Solution

To determine

(d)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Monomial.

Explanation of Solution

Given information:

A polynomial is given as 10.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 10.

Since, given polynomial has only one term.

Therefore, we can say that given polynomial is monomial.

Expert Solution

To determine

(e)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 2y−12.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 2y−12.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 5, Problem 342RE

In the following exercises, determine the type of polynomial.

342. 16 x 2 − 40 x − 25

Expert Solution

To determine

(a)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Trinomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 11c4−23c2+1.

Since, given polynomial has three terms.

Therefore, we can say that given polynomial is trinomial.

Expert Solution

To determine

(b)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Polynomial.

Explanation of Solution

Given information:

A polynomial is given as 9p3+6p2−p−5.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 9p3+6p2−p−5.

Since, given polynomial has more than three terms.

Therefore, we can say that given polynomial is other polynomial.

Expert Solution

To determine

(c)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 37x+514.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Expert Solution

To determine

(d)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Monomial.

Explanation of Solution

Given information:

A polynomial is given as 10.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 10.

Since, given polynomial has only one term.

Therefore, we can say that given polynomial is monomial.

Expert Solution

To determine

(e)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 2y−12.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 2y−12.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

(a)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Trinomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 11c4−23c2+1.

Since, given polynomial has three terms.

Therefore, we can say that given polynomial is trinomial.

Expert Solution

To determine

(b)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Polynomial.

Explanation of Solution

Given information:

A polynomial is given as 9p3+6p2−p−5.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 9p3+6p2−p−5.

Since, given polynomial has more than three terms.

Therefore, we can say that given polynomial is other polynomial.

Expert Solution

To determine

(c)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 37x+514.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Expert Solution

To determine

(d)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Monomial.

Explanation of Solution

Given information:

A polynomial is given as 10.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 10.

Since, given polynomial has only one term.

Therefore, we can say that given polynomial is monomial.

Expert Solution

To determine

(e)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 2y−12.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 2y−12.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Answer 8

Expert Solution

To determine

(a)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Trinomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 11c4−23c2+1.

Since, given polynomial has three terms.

Therefore, we can say that given polynomial is trinomial.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

(a)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer 13

Answer to Problem 342RE

Trinomial.

Answer 14

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 11c4−23c2+1.

Since, given polynomial has three terms.

Therefore, we can say that given polynomial is trinomial.

Answer 15

Expert Solution

To determine

(b)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Polynomial.

Explanation of Solution

Given information:

A polynomial is given as 9p3+6p2−p−5.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 9p3+6p2−p−5.

Since, given polynomial has more than three terms.

Therefore, we can say that given polynomial is other polynomial.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

(b)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer 20

Answer to Problem 342RE

Polynomial.

Answer 21

Explanation of Solution

Given information:

A polynomial is given as 9p3+6p2−p−5.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 9p3+6p2−p−5.

Since, given polynomial has more than three terms.

Therefore, we can say that given polynomial is other polynomial.

Answer 22

Expert Solution

To determine

(c)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 37x+514.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

(c)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer 27

Answer to Problem 342RE

Binomial.

Answer 28

Explanation of Solution

Given information:

A polynomial is given as 11c4−23c2+1.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 37x+514.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Answer 29

Expert Solution

To determine

(d)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Monomial.

Explanation of Solution

Given information:

A polynomial is given as 10.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 10.

Since, given polynomial has only one term.

Therefore, we can say that given polynomial is monomial.

Answer 30

Expert Solution

Answer 31

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

(d)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer 34

Answer to Problem 342RE

Monomial.

Answer 35

Explanation of Solution

Given information:

A polynomial is given as 10.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 10.

Since, given polynomial has only one term.

Therefore, we can say that given polynomial is monomial.

Answer 36

Expert Solution

To determine

(e)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer to Problem 342RE

Binomial.

Explanation of Solution

Given information:

A polynomial is given as 2y−12.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 2y−12.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.

Answer 37

Expert Solution

Answer 38

Expert Solution

Answer 39

Expert Solution

Answer 40

To determine

(e)

To decide if the given polynomial is a monomial, binomial, trinomial or other polynomial.

Answer 41

Answer to Problem 342RE

Binomial.

Answer 42

Explanation of Solution

Given information:

A polynomial is given as 2y−12.

Calculation:

As we know that, a term is a constant or the product of a constant and one or more variables. An algebraic term in the form of axm where a is the constant and m is a whole number is called a monomial.

A monomial, or two or more monomials combined by addition or subtraction, is calleda polynomial.

If a polynomial have only one term then it is called a monomial.

If a polynomial have exactly two term then it is called a binomial.

If a polynomial have three term then it is called a trinomial.

Polynomial with more than three terms are just called polynomial.

We have been given a polynomial as 2y−12.

Since, given polynomial has two terms.

Therefore, we can say that given polynomial is binomial.