Question

factorise 2xcube -3xcube-17x +30

Answer 1

2x^3 - 3x^2 - 17x + 30
= 2x^3 - 4x^2 +x^2 -2x - 15x + 30
=2x^2(x-2) +x(x-2) -15(x-2)
=(x-2)(2x^2 +x -15)
=(x-2)(2x^2 +6x -5x -15)
=(x-2)(2x(x+3) -5(x+3))
=(x-2)(x+3)(2x-5)