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: 17



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: $$4m(2m+9m^2-6)=4m(2m)+(4m)(9m^2)+4m(-6)=8m^2+36m^3-24m$$To write in standard form, the term with the highest power must come first. This gives us: $36m^3+8m^2-24m$
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