Question

2xcube-3xsquare-17x+30 factorise

Answer 1

2x³ - 3x² - 17x + 30

= 2x³ - 4x² + x² - 2x - 15x + 30

= 2x²(x - 2) + x(x - 2) - 15(x - 2)

= (2x² + x - 15)(x - 2)

= [2x² + 6x - 5x - 15][x - 2]

= [2x(x+3) - 5(x+3)][x - 2]

= (2x-5)(x+3)(x-2).