# Math Help - Find the Remainder

1. ## Find the Remainder

What is the remainder when

f(x) = -3x^17 + x^9 - x^5 + 2x is divided by x + 1?

2. The answer is just $f(-1)$.

3. ## Yes but...............

I know the answer thanks to you but how did you find the answer?

I would like to do it on my own, right?

4. The Factor/Root Theorem: Given the polynomial $P(x)$ then $\left( {x - a} \right)$ is factor of $P(x)$ if and only if $a$ is a root or $P(a)=0$. As a result of the theorem if $P(x)$ is divided by $\left( {x - b} \right)$ the remainder is $P(b)$.

5. ## I will...

I will have to work on this definition much more.