Question

Find the remainder when $x^{3} +3x+1$ is divided by: $x+1$

Answer 1

Answer:

By using Remainder Theorem,

g(x) = x + 1 = 0

g(x) = x = -1

f(x) = x³ + 3x + 1

f(-1) = (-1)³ + 3(-1) + 1

f(-1) = -1 + (-3) + 1

f(-1) = -1 - 3 + 1

f(-1) = -3

(x³ + 3x + 1) / (x + 1) = -3