Question

Factorise: 2x³ - 3x² - 17x + 30.

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Answer 1

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Answer 2

We have, 2x³−3x²−17x+30

= 2x³−4x²+x2−2x−15x+30 [∵−3x²=−4x²+x²,−17x=−2x−15x]

= 2x²(x−2)+x(x−2)−15(x−2)

= (x−2)(2x²+x−15)

= (x−2)(2x²+6x−5x−15) [∵x=6x−5x]

= (x−2)[2x(x+3)−5(x+3)]

= (x−2)(x+3)(2x−5)