Algebra 1

by Hall, Prentice

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: 20

Answer

(4x+1)(2x+7)

Work Step by Step

Given the polynomial $8x^{2}$ + 30x + 7 *** We break of the middle term into two factors that add to give +30 and multiply to give +56. The two numbers are +28 and +2. $8x^{2}$ + 28x + 2x + 7 We take the GCD of the first two and the GCD of the last two terms. 4x(2x+7) +1(2x+7) We take (2x+7) and factor it out which gives us. (4x+1)(2x+7)

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