Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set - Page 361: 55

Answer

$(2x-3)(4x-3)$

Work Step by Step

$8x^{2}-18x+9=$ ... ... Searching for two factors of $ac=+72$ whose sum is $b=-18,$ we find$\qquad-6$ and $-12.$ Rewrite the middle term and factor in pairs: $=8x^{2}-12x-6x+9=$ $=4x(2x-3)-3(2x-3)$ = $(2x-3)(4x-3)$
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