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: 7

Answer

$(h+2)(h+9)$.

Work Step by Step

The given polynomial is $=h^2+11h+18$ Standard form is $x^2+bx+c$. We have $b=11$ and $c=18$. $b$ and $c$ is positive. Factor pair of $18$, whose sum is $11$: $2,9$ The values of $p$ and $q$ are $2$ and $9$. Hence, the factor of the polynomial is $(h+p)(h+q)=(h+2)(h+9)$. Check:- $=(h+2)(h+9)$ $=h^2+9h+2h+18$ $=h^2+11h+18$ True.
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