How do you factor the expression $10 x^{2} + 7 x - 12$ $10x^2+7x-12$ ?

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How do you factor the expression $10 x^{2} + 7 x - 12$ $10x^2+7x-12$ ?

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Answer 1 · 2016-05-09T05:20:22

$= (2 x + 3) (5 x - 4)$ $=(2x+3)(5x-4)$

Explanation:

$10 \times 12 = 120 = 15 \times 8$ $10xx12=120=15xx8$
15-8=7
$10 x^{2} + 7 x - 12$ $10x^2+7x-12$
$= 10 x^{2} + 15 x - 8 x - 12$ $=10x^2+15x-8x-12$
$= 5 x (2 x + 3) - 4 (2 x + 3)$ $=5x(2x+3)-4(2x+3)$
$= (2 x + 3) (5 x - 4)$ $=(2x+3)(5x-4)$

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How do you factor the expression $10 x^{2} + 7 x - 12$ $10x^2+7x-12$ ?

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How do you factor the expression $10 x^{2} + 7 x - 12$ $10x^2+7x-12$ ?