Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set: 20

Answer

$(x-5)(x+1)$

Work Step by Step

RECALL: A quadratic trinomial $x^2+bx+c$ (with a leading coefficient of 1) can be factored as a product of two binomials if $c$ has factors $d$ and $e$ whose sum is equal to the coefficient of the middle term ($b$). The factored form of the trinomial is $(x+d)(x+e)$. Example: $x^2+3x+2$ can be factored as a product of two binomials since $2=2(1)$ and $2+1=3$, the middle term's coefficient. The given trinomial has a leading coefficient of 1 and has $c=-5$. Note that $-5=-5(1)$ and $-5+1=-4$, the middle term's coefficient. Thus, the factored form of the trinomial is $(x-5)(x+1).$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.