When x3+2x+1
is divided by x+1
, the remainder is −2
. Apply the Remainder Theorem to find f(−1)
, where f(x)=x3+2x+1
.(1 point)
f(−1)=
To find f(-1), we can substitute -1 into the expression for f(x).
f(-1) = (-1)^3 + 2(-1) + 1
= -1 - 2 + 1
= -2
Therefore, f(-1) = -2.
To find f(-1) using the Remainder Theorem, we need to plug -1 into the function f(x) and calculate the result.
Given that f(x) = x^3 + 2x + 1, we substitute -1 for x:
f(-1) = (-1)^3 + 2(-1) + 1
Simplifying the expression:
f(-1) = -1 + (-2) + 1
f(-1) = -1 - 2 + 1
f(-1) = -2
Therefore, f(-1) = -2.
To find f(-1), where f(x) = x^3 + 2x + 1, we can apply the Remainder Theorem. The Remainder Theorem states that if a polynomial f(x) is divided by x - a, then the remainder is equal to f(a).
In this case, we are given that when f(x) = x^3 + 2x + 1 is divided by x + 1, the remainder is -2. This means that f(-1) = -2.
Therefore, f(-1) = -2.