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Thread: Find the Remainder

  1. #1
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    Find the Remainder

    What is the remainder when

    f(x) = -3x^17 + x^9 - x^5 + 2x is divided by x + 1?
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  2. #2
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    The answer is just $\displaystyle f(-1)$.
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  3. #3
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    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?
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  4. #4
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    The Factor/Root Theorem: Given the polynomial $\displaystyle P(x)$ then $\displaystyle \left( {x - a} \right)$ is factor of $\displaystyle P(x)$ if and only if $\displaystyle a$ is a root or $\displaystyle P(a)=0$. As a result of the theorem if $\displaystyle P(x)$ is divided by $\displaystyle \left( {x - b} \right)$ the remainder is $\displaystyle P(b)$.
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  5. #5
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    I will...

    I will have to work on this definition much more.
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