Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - Chapter Review - Page 410: 11

Answer

$x^3+11x^2+28x$.

Work Step by Step

The given expression is $=(x+4)(x^2+7x)$ Distribute $(x^2+7x)$ to each term of $(x+4)$. $=x(x^2+7x)+4(x^2+7x)$ Use distributive property. $=x(x^2)+x(7x)+4(x^2)+4(7x)$ Multiply. $=x^3+7x^2+4x^2+28x$ Combine like terms. $=x^3+11x^2+28x$ Hence, the product is $x^3+11x^2+28x$.
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