2x^3 + 3x^2 -11x -6 divided by x - 2

p(x)= x-2

g(x)= 2x^3 + 3x^2 - 11x - 6

first we have to find the zero of the polynomial of x-2

p(x)= x-2 = 0

         x=2

therefore,

p(x)= 2x^3 + 3x^2 - 11x - 6

p(2)= 2*2^3 + 3*2^2 - 11*2 - 6

      = 2*8 + 3*4 - 11*2 - 6

      = 16 + 12 - 22 - 6

      = 28-28

     = 0

Hope it helped u, ^_^.

Step-by-step explanation: