Question

use factor theorem to determine whether gx is a factor of fx or not where fx=x³+13x²+32x+20;g(x)= x-1​

Answer 1

Answer:

The value of x³+13x²+32x+20 is

x³ +x² +12x² +12x+20x+20

=x² (x+1)+12x(x+1)+20(x+1)

=(x−1)(x²+12x+20)

=(x−1)(x² +10x+2x+20)

=(x+1)[x(x+10)+2(x+10)]

=(x+1)(x+2)(x+10)