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 - Page 509: 22



Work Step by Step

Given the polynomial $12p^{2}$ + 20p - 8 We see that the three terms have a common factor of 4. So we factor out a 4 which gives us. 4($3p^{2}$ + 5p - 2) *** We break of the middle term into two factors that add to give +5 and multiply to give -6. The two numbers are +6 and -1. 4($3p^{2}$ + 6p - p - 2) We take the GCD of the first two and the GCD of the last two terms. 4(3p(p+2)-1(p+2)) We take (p+2) and factor it out which gives us. 4(p+2)(3p-1)
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