Question

factorise

6x^3-7x^2-8x+5​

Answer 1

Step-by-step explanation:

$6 {x}^{3} - 7 { x }^{2} - 8x + 5 \\ \\ = 6 {x}^{3} - 13 {x}^{2} + 5x + 6 {x}^{2} - 13x + 5 \\ \\ = x(6 {x}^{2} - 13x + 5) + (6 {x}^{2} - 13x + 5) \\ \\ = (x + 1)(6 {x}^{2} - 13x + 5) \\ \\ = (x + 1)(6 {x}^{2} - 3x - 10x + 5) \\ \\ = (x + 1)(3x(2x - 1) - 5(2x - 1)) \\ \\ = (x + 1)(2x - 1)(3x - 5)$

hope it helps