Question

factorise 2x^3-3x^2-17x by factor theorem

If you solve I give 85 points​

Answer 1

Step-by-step explanation:

2x

3

−3x

2

−17x+30

=2x

3

+2x

2

−12x−5x

2

−5x+30

=2x(x

2

+x−6)−5(x

2

+x−6)

=(x

2

+x−6)(2x−5)

=(x

2

+3x−2x−6)(2x−5)

=[x(x+3)−2(x+3)](2x−5)

=(x+3)(x−2)(2x−5)