use the Remainder theorem to ecaluate P(x)=x^4+x^3-x^2-2x

Question

i need to use the remainder theorem to evaluate P(3) for P(x)=x^4+x^3-x^2-2x its algebra 2 and i don't understand it so please help me

Answer 1

Given P(x) = x^4+x^3-x^2-2x

I'm supposed to be doing synthetic division using "3" as the divisor.

From the remainder therom P(x) = (x-a)q(x)+r(x)

x^4+x^3-x^2-2x = (x-3)(x^3+4x^2+11x+31)+93

P(3) = 93