True or False We can divide −4 x 3 + 5 x 2 + 10 x − 3 by x 2 − 2 using synthetic division.

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter A, Problem 1E

True or False We can divide −4x³ + 5x² + 10x − 3 by x² − 2 using synthetic division.

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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

@when ever one Point sets in x are closed a collection of functions which separates Points from closed set will separates Point. 18 (prod) is product topological space then VaeA (xx, Tx) is homeomorphic to sul space of the Product space (Txa, prod). KeA © The Bin Projection map B: Tx XP is continuous and open but heed hot to be closed. A collection (SEA) of continuos function oha topolgical Space X se partes Points from closed sets inx iff the set (v) for KEA and Vopen set in Xx from a base for top on x.

Simply:(p/(x-a))-(p/(x+a))

Q1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…

Answer 2

Textbook Question

Chapter A, Problem 1E

True or False We can divide −4x³ + 5x² + 10x − 3 by x² − 2 using synthetic division.

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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 A, Problem 1E

True or False We can divide −4x³ + 5x² + 10x − 3 by x² − 2 using synthetic division.

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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 A, Problem 1E

True or False We can divide −4x³ + 5x² + 10x − 3 by x² − 2 using synthetic division.

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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 & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

Answer 8

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer 12

Answer to Problem 1E

The statement is false.

Answer 13

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.