## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter P - Section P.4 - Polynomials - Concept and Vocabulary Check - Page 55: 8

#### Answer

distributive; $4x^5-8x^2+6$; $7x^3$

#### Work Step by Step

RECALL: For any real numbers a, b, c, and d, the distributive property states that $a(b+c+d) = ab + ac + ad.$ Thus, to simplify $7x^3(4x^5-8x^2+6)$, using the distributive property gives $7x^3(4x^5) -7x^3(8x^2) + 7x^3(6).$ Therefore, the missing expressions/words (in order) in the given statement are distributive; $4x^5-8x^2+6$; $7x^3.$

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