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Thread: Polynomial division with remainders, could someone help, please?

  1. #1
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    Unhappy Polynomial division with remainders, could someone help, please?

    Let f(x) = x^4+px^3+qx+5, where p, q are constants. The remainder when f(x) is divided by (x+1) is 7, and the remainder when f(x) is divided by (x-2) is 1. Find the value of p and the value of q.

    Could someone solve it, please? I've been stuck on this problem for over two hours...
    Last edited by ruby9099; Aug 22nd 2019 at 03:01 AM.
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  2. #2
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    Re: Polynomial division with remainders, could someone help, please?

    The remainder when a polynomial $f(x)$ is divided by $x+1$ is $7$ means

    $$f(-1)=7$$
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  3. #3
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    Re: Polynomial division with remainders, could someone help, please?

    Thanks from topsquark
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    Re: Polynomial division with remainders, could someone help, please?

    Quote Originally Posted by ruby9099 View Post
    Let f(x) = x^4+px^3+qx+5, where p, q are constants. The remainder when f(x) is divided by (x+1) is 7, and the remainder when f(x) is divided by (x-2) is 1. Find the value of p and the value of q.

    Could someone solve it, please? I've been stuck on this problem for over two hours...
    How's your Synthetic Division?
    Thanks from topsquark
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