How do you factor $10 x^{2} + 15 x - 10$ $10x^2 + 15x - 10$ ?

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How do you factor $10 x^{2} + 15 x - 10$ $10x^2 + 15x - 10$ ?

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Answer 1 · 2015-06-13T12:25:28

The factors are $5, (x + 2), (2 x - 1)$ $5, (x+2), (2x−1)$

Explanation:

$10 x^{2} + 15 x - 10$ $10x^2 + 15x -10$
$= 10 x^{2} + 20 x - 5 x - 10$ $= 10x^2 + 20x - 5x -10$
$= 10 x (x + 2) - 5 (x + 2)$ $= 10x(x+2) -5(x+2)$
$= (10 x - 5) (x + 2)$ $= (10x-5)(x+2)$
$= 5 (x + 2) (2 x - 1)$ $= 5(x+2)(2x-1)$

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How do you factor $10 x^{2} + 15 x - 10$ $10x^2 + 15x - 10$ ?

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