Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-6 Factoring ax(squared) + bx + c - Practice and Problem-Solving Exercises: 41

Answer

28(h+2)(h-1)

Work Step by Step

Given the polynomial $28h^{2}$ + 28h - 56 We see that the three terms have a common factor of 28 so we factor out 28. 28($h^{2}$ + h - 2) *** We break of the middle term into two factors that add to give +1 and multiply to give -2. The two numbers are +2 and -1. 28($h^{2}$ + 2h - h - 2) We take the GCD of the first two and the GCD of the last two terms. 28(h(h+2)-1(h+2)) We take (h+2) and factor it out which gives us. 28(h+2)(h-1)
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