Question

factorise 2x3 3x² 17x +30
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Answer 1

2x3−3x2−17x+30

=2x3+2x2−12x−5x2−5x+30

=2x(x2+x−6)−5(x2+x−6)

=(x2+x−6)(2x−5)

=(x2+3x−2x−6)(2x−5)

=[x(x+3)−2(x+3)](2x−5)

=(x+3)(x−2)(2x−5)