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: 54

Answer

$(2x+3)(3x+5)$

Work Step by Step

$6x^{2}+19x+15=$ ... ... Searching for two factors of $ac=+90$ whose sum is $b=+19,$ we find$\qquad+9$ and $+10.$ Rewrite the middle term and factor in pairs: $=10x^{2}+9x+10x+6=$ $=3x(2x+3)+5(2x+3)$ = $(2x+3)(3x+5)$
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