Question

factorise:2x²-9x-5​

Answer 1

$= {2x}^{2} - 9x - 5 \\ \\ = {2x}^{2} + x - 10x - 5 \\ \\ = x(2x + 1) - 5(2x + 1) \\ \\ = (x - 5)(2x + 1) \\ \\ x = 5 \: \: \: \: and \: \: \: \: x = \frac{ - 1}{2}$

Answer 2

$2 {x}^{2} - 9x - 5$

$= 2 {x}^{2} - 10x + x - 5$

$= 2x(x - 5) + 1(x - 5)$

$= (2x + 1)(x - 5)$