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 - Monitoring Progress - Page 387: 7

Answer

$(x-2)(x+15)$.

Work Step by Step

The given polynomial is $=y^2+13x-30$ Standard form is $x^2+bx+c$. We have $b=13$ and $c=-30$. $b$ is positive and $c$ is negative. Factor pair of $-30$, whose sum is $13$: $15,-2$ The values of $p$ and $q$ are $-2$ and $15$. Hence, the factor of the polynomial is $(x+p)(x+q)=(x-2)(x+15)$. Check:- $=(x-2)(x+15)$ $=x^2+15x-2x-30$ $=x^2+13x-30$ True.
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