Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Exercises: 26

Answer

$$2(2x-1)(3x+4)$$

Work Step by Step

$Factor$ $the$ $expression$ $completely:$ $12x^2+10x-8$ Factor out a 2 $2(6x^2+5x-4)$ Factor the trinomial into binomials [Note: The signs are plus then minus, so there must be a addition parenthesis times a subtraction parenthesis] $$6x^2+5x-4 = (2x-1)(3x+4)$$ $$2(2x-1)(3x+4)$$ Check: Use the FOIL Method $2x\times 3x = 6x^2$ $2x\times4 = 8x$ $-1\times3x = -3x$ $-1\times 4 = -4$ $2(6x^2+8x-3x-4) = 2(6x^2+5x-4)$ $=12x^2+10x-8$
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