Question

Factorise 15x2 + 2x - 8​

Answer 1

Step-by-step explanation:

We Have :-

$15x^{2} + 2x - 8$

To Find :-

$factors$

Method Used :-

$middle \: term \: splitting$

Solution :-

$15x^{2} + 2x - 8 \\ \\ \\ 15x^{2} + 12x - 10x - 8 \\ \\ \\ 3x(5x + 4) - 2(5x + 4) \\ \\ \\ (5x + 4)(3x - 2) \\ \\ \\ 5x + 4 = 0 \\ \\ \\ 5x = - 4 \\ \\ \\ x = \dfrac{ - 4}{5} \\ \\ \\ 3x - 2 = 0 \\ \\ \\ 3x = 2 \\ \\ \\ x = \dfrac{2}{3}$