Question

Factorise 2x² - x -15

Answer 1

Answer:

2x^2 - (6-5)x -15

2x^2-6x +5x-15

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

(x-3) (2x+5)

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Answer 2

Answer:

$2 {x}^{2} - x - 15 \\ 2 {x}^{2} - (6x - 5x) - 15 \\ 2 {x}^{2} - 6x + 5x - 15 \\ 2x(x - 3) + 5(x - 3) \\ (x - 3)(2x + 5) \\ x - 3 = 0 \\ x = 3 \\ and \\ 2x + 5 = 0 \\ 2x = - 5 \\ x = \frac{ - 5}{2}$

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