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 510: 49



Work Step by Step

Given the polynomial $49p^{2}$ + 63pq - $36q^{2}$ *** We break of the middle term into two factors that add to give +63 and multiply to give -1764. The two numbers are +84 and -21. $49p^{2}$ + 84pq - 21pq - $36q^{2}$ We take the GCD of the first two and the GCD of the last two terms. 7p(7p+12q)-3q(7p+12q) We take (7p+12q) and factor it out which gives us. (7p+12q)(7p-3q)
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