Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.4 - Dividing Polynomials; Remainder and Factor Theorems - Exercise Set - Page 365: 70

Answer

The given statement is false.

Work Step by Step

We know that whenever a function $f\left( x \right)$ of degree $n$ is divided by another function $g\left( x \right)$ of degree $m$, the degree of the quotient must be $n-m$. Well, in the above case, the degree of $f\left( x \right)$ is $6$ when divided by $g\left( x \right)$ of degree $3$; the degree of the quotient must be $6-3=3$. But, the given degree of the quotient is $2$. Hence, the given statement is false.
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