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 - 7.2 - Multiplying Polynomials - Exercises - Page 369: 37

Answer

$y^3+11y^2+22y-6$.

Work Step by Step

The given expression is $=(y+3)(y^2+8y-2)$ Distribute $(y^2+8y-2)$ to each term of $(y+3)$. $=y(y^2+8y-2)+3(y^2+8y-2)$ Use distributive property. $=y(y^2)+y(8y)+y(-2)+3(y^2)+3(8y)+3(-2)$ Multiply. $=y^3+8y^2-2y+3y^2+24y-6$ Combine like terms. $=y^3+11y^2+22y-6$ Hence, the product is $y^3+11y^2+22y-6$.
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