When x^3+2x+1 is divided by x+1, the remainder is −2. Apply the Remainder Theorem to find f(−1), where f(x)=x^3+2x+1.

1 answer

The Remainder Theorem states that if a polynomial f(x) is divided by x - c, the remainder is equal to f(c). In this case, we are given that when f(x) = x^3 + 2x + 1 is divided by x + 1, the remainder is -2.

Therefore, f(-1) = -2.