Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises: 26

Answer

(z+4)(z-2)

Work Step by Step

Given the polynomial $z^{2}$ + 2z - 8 *** We break of the middle term into two factors that add to give +2 and multiply to give -8. The two numbers are +4 and -2. $z^{2}$ + 4z - 2z - 8 We take the GCD of the first two and the GDC of the last two terms. z(z+4) -2(z+4) We take (z+4) and factor it out which gives us. (z+4)(z-2)
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