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: 9

Answer

$(v-4)(v-1)$.

Work Step by Step

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