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 - 7.5 - Factoring x 2 + bx + c - Exercises - Page 389: 24

Answer

$(y-10)(y+3)$.

Work Step by Step

The given polynomial is $=-7y+y^2-30$ $=y^2-7y-30$ Standard form is $x^2+bx+c$. We have $b=-30$ and $c=-7$. $b$ and $c$ is negative. Factor pair of $-30$, whose sum is $-7$:- $-10,3$ The values of $p$ and $q$ are $-10$ and $3$. Hence, the factor of the polynomial is $(y+p)(y+q)=(y-10)(y+3)$. Check:- $=(y-10)(y+3)$ $=y^2+3y-10y-30$ $=y^2-7y-30$ True.
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