Problem
Remainder Theorem (Level 1) Score: $3 / 5$ Penalty: 1 off Question Show Example If $f(x)=3 x^{6}+x^{5}+4$, then what is the remainder when $f(x)$ is divided by $x+1$ ? Answer Attempt 1 out of 2 Submit Answer
Solution
Step 1 ：The Remainder Theorem states that the remainder of a polynomial f(x) divided by a linear divisor x-a is equal to f(a). In this case, the divisor is x+1, so we can substitute -1 into the polynomial to find the remainder.
Step 2 ：remainder = 6
Step 3 ：Final Answer: The remainder when \(f(x)\) is divided by \(x+1\) is \(\boxed{6}\).
