Question

factorise 2x cube - 3x sq + 17x - 30

Answer 1

2x^3 - 3x^2 - 17 + 30
=2x^3 - 4x^2 + x^2x - 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)

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