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: 21

Answer

$(x-5)(x+4)$.

Work Step by Step

The given polynomial is $=x^2-x-20$ Standard form is $x^2+bx+c$. We have $b=-1$ and $c=-20$. $b$ and $c$ is negative. Factor pair of $-1$, whose sum is $-20$:- $-5,4$ The values of $p$ and $q$ are $-5$ and $4$. Hence, the factor of the polynomial is $(x+p)(x+q)=(x-5)(x+4)$. Check:- $=(x-5)(x+4)$ $=x^2+4x-5x-20$ $=x^2-x-20$ True.
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