Question

find the remainder when p(x)=x^3-2x^3-4x-1 is divided by g(x) = [x+1]​

Answer 1

Answer:

given

p(x) = x^3 - 2x^2 - 4x - 1

g(x) = (x + 1)

to find the remainder when p(x) is divided by g(x)

using remainder theorem,

let g(x) = x+1 = 0 therefore x = -1

p(-1) = (-1)^3 - 2(-1)^2 - 4(-1) - 1

=> -1 -2(1) +4 - 1

=> -1 -2 + 4 - 1

=> - 4 + 4

=> 0

hence the remainder is zero

as the remainder is zero, x+ 1 is a factor of p(x)