Question

By using remainder theorem show that g(x) is a factor of f(x) given f(x) = x^3 -x^2+11x +69,g(x) =x+3

Answer 1

g(x)=x+3
    x=-3
Putting the value of x in the equation
f(-3)=(-3)³-(-3)²+11(-3)+69
      = -27-9-33+69
      = -69+69
      =0