Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Lesson Check: 2

Answer

(3q+2)(3q+2)

Work Step by Step

Given the polynomial $9q^{2}$ + 12q + 4 *** We break of the middle term into two factors that add to give +12 and multiply to give +36. The two numbers are +6 and +6. $9q^{2}$ + 6q + 6q + 4 We take the GCD of the first two and the GCD of the last two terms. 3q(3q+2) +2(3q+2) We take (3q+2) and factor it out which gives us. (3q+2)(3q+2)
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