Question

Factorize : 2x² - 7x - 15​

Answer 1

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${2x}^{2} - 7x - 15$

$= {2x}^{2} - 10x + 3x - 15 \\ = 2x(x - 5) + 3(x - 5) \\ = (x - 5)(2x + 3)$

1st zero

$x - 5 = 0 \\ x = 5$

2nd zero

$2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2}$

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Answer 2

2x² - 7x - 15​

2x² - 10x + 3x - 15​

2x (x - 5) +3 (x - 5)

(2x + 3)(x - 5)