Question

Using remainder theroem find the remainder when p(x) is divided by g(x) where p(x) =3x^4-6x^2-8x-2 and g(x) =x-2

Answer 1

g(x) =x-2

zero:

x-2=0

=>x=2

p(x) =3x^4-6x^2-8x-2

=3*2*2*2*2-6*2*2-8*2-2

=48-24-16-2

=6

hence the remainder is 6 using reminder theorem