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 - Standardized Test Prep - Page 505: 61


Option C: (x+7)(x-6)

Work Step by Step

Given the polynomial $x^{2}$ +x -42 *** We break of the middle term into two factors that add to give +1 and multiply to give -42. The two numbers are +7 and -6. $x^{2}$ + 7x - 6x -42 We take the GCD of the first two and the GCD of the last two terms. x(x+7) - 6(x+7) We take (x+7) and factor it out which gives us. (x+7)(x-6)
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