Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.2 Factoring Trinomials of the Type x2+bx+c - 5.2 Exercise Set: 18

Answer

$(z-1)(z-7)$

Work Step by Step

The 2 numbers whose product is $ac= 1(7)=7 $ and whose sum is $b= -8 $ are $\left\{ -1,-7 \right\}.$ Using these two numbers to decompose the middle term of the given trinomial, $ z^2-8z+7 ,$ then the factored form is \begin{array}{l} z^2-1z-7z+7 \\\\= (z^2-1z)-(7z-7) \\\\= z(z-1)-7(z-1) \\\\= (z-1)(z-7) .\end{array}
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.