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Math Help - polynomial f(x)

  1. #1
    Junior Member ihmth's Avatar
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    polynomial f(x)

    Need help pls

    a.) Show that for any polynomial f(x) there exists a polynomial g(x) such that
    f(x) = x*g(x) + c, where c is a constant.

    b.) Use the result in letter a.) and the remainder theorem to prove the factor theorem.


    --tnx
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  2. #2
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    Quote Originally Posted by ihmth View Post
    Need help pls

    a.) Show that for any polynomial f(x) there exists a polynomial g(x) such that
    f(x) = x*g(x) + c, where c is a constant.

    b.) Use the result in letter a.) and the remainder theorem to prove the factor theorem.
    Let f(x) = a_nx^n+...+a_1x+a_0 then f(x) = xg(x)+a_0 where g(x) = a_nx^{n-1}+...+a_1.
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