Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Chapter Review - Page 536: 21



Work Step by Step

We can multiply a monomial by a polynomial using the distributive property, which states that we multiply the term outside the parentheses by each term inside the parentheses and then combine like terms to simplify: $$q(11+8q-2q^2)=(q)(11)+(q)(8q)+(q)(-2q^2)=11q+8q^2-2q^3$$To write in standard form, the term with the highest power must come first, and the powers of the terms must be in descending order. This gives us: $-2q^3+8q^2+11q$.
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