Question

using remainder theorem find the remainder when p (x) is divided by g (x) where p (x) = 2x^3 + 3x^2 -11x - 3 , g(x) = (x+1/2)​

Answer 1

g (x)(x+1/2)=0

g(x)=-1/2

p (-1/2) = 2x^3+ 3x^2 -11x-3 ,p(-1/2) = 2-1/2^3 + 3(-1/2^2) -11(-1/2)- 3 ,

p (-1/2)=-1+9/4+11/2-3=15/4