Question

factorise by splitting the middle term 6x²-x-15​

Answer 1

Given polynomial :-

6x² - x - 15 = 0

⇒ 6x² -10x + 9x - 15 = 0

⇒ 2x(3x - 5) + 3(3x - 5) = 0

⇒ (3x - 5)(2x + 3) = 0

⇒ (3x - 5) = 0     or       (2x + 3) = 0

⇒ x = 5/3           or        x = -3/2

Answer 2

$6 {x}^{2} - x - 1 5\\ \\ = > 6 {x}^{2} - 10x + 9x - 15 \\ \\ = > 2x(3x - 5) + 3(3x - 15) \\ \\ = > (2x + 3)(3x - 15) \\ \\ = > 3( x- 5)(2x + 3)$