In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial. 588. (a) 11 c 4 − 23 c 2 + 1 (b) 9 p 3 + 6 p 2 − p − 5 (c) 3 7 x + 5 14 (d) 10 (e) 2 y − 12

Question

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Answer 1

Textbook Question

Chapter 6, Problem 588RE

In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial.

588.

(a) 11 c 4 − 23 c 2 + 1

(b) 9 p 3 + 6 p 2 − p − 5

(c) 3 7 x + 5 14

(d) 10

(e) 2 y − 12

Expert Solution

To determine

(a)

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

Answer to Problem 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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.

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Answer 2

Textbook Question

Chapter 6, Problem 588RE

In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial.

588.

(a) 11 c 4 − 23 c 2 + 1

(b) 9 p 3 + 6 p 2 − p − 5

(c) 3 7 x + 5 14

(d) 10

(e) 2 y − 12

Expert Solution

To determine

(a)

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

Answer to Problem 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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.

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Answer 3

Textbook Question

Chapter 6, Problem 588RE

In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial.

588.

(a) 11 c 4 − 23 c 2 + 1

(b) 9 p 3 + 6 p 2 − p − 5

(c) 3 7 x + 5 14

(d) 10

(e) 2 y − 12

Expert Solution

To determine

(a)

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

Answer to Problem 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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.

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Answer 4

Textbook Question

Chapter 6, Problem 588RE

In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial.

588.

(a) 11 c 4 − 23 c 2 + 1

(b) 9 p 3 + 6 p 2 − p − 5

(c) 3 7 x + 5 14

(d) 10

(e) 2 y − 12

Expert Solution

To determine

(a)

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

Answer to Problem 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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.

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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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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 588RE

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.