Elementary & Intermediate Algebra
Elementary & Intermediate Algebra
3rd Edition
ISBN: 9780321880116
Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella
Publisher: PEARSON
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Chapter A, Problem 1E

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

Expert Solution & Answer
Check Mark
To determine

Whether the statement “We can divide 4x3+5x2+10x3 by x22 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 xc. 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 xc.

The divisor x22 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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