Question

09. Factorize 2x3 – x2 – 13x – 6​

Answer 1

Step-by-step explanation:

P(x) =2×3-X2-13X-6

P(-2) =2(-2) ^3-(-2) ^2-13(-2) -6

-16-4+26-6

=-26+26

=0

Therefore

x+2 is a factor ofp(x)

P(x) =(x+2) (2x^2-5x-3)

=(x+2) (2x^2-6x+x-3)

=(x+2) (2x+1) (x-3)