Algebra 1

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

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Mixed Review - Page 516: 65

Answer

(2x+3)(4x+3)

Work Step by Step

Given the polynomial $8x^{2}$ + 18x + 9 *** We break of the middle term into two factors that add to give +18 and multiply to give +72. The two numbers are +12 and +6. $8x^{2}$ + 12x + 6x + 9 We take the GCD of the first two and the GCD of the last two terms. 4x(2x+3) + 3(2x+3) We take (2x+3) and factor it out which gives us. (2x+3)(4x+3)
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