Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises: 1


(a) $3$ terms The terms are: $2x^{5}$, $6x^{4}$, $4x^{3}$ (b) $2x^{3}$ $2x^{5}+6x^{4}+4x^{3}$ = $2x^{3}(x+1)(x+2)$

Work Step by Step

(a) Count the number of terms in the polynomial equation, which are: $2x^{5}$, $6x^{4}$, $4x^{3}$. Therefore, there are three. (b) $2x^{3}$ is the largest term that can be factored from the polynomial equation. Taking out the highest common factor: $2x^{5}+6x^{4}+4x^{3}$ = $2x^{3}(x^{2}+3x+2)$ which can be further simplified as $2x^{3}(x+1)(x+2)$.
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