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If a polynomial is a factor of another polynomial, must every root of the polynomial be a root of the other?

Science & Mathematics by Anonymous 2018-07-02 02:33:16

Social Science

If a polynomial is a factor of another polynomial, must every root of the polynomial be a root of the other?

4 answers

  • Anonymous

    Yes, of course. Easy to see. If a(x) = b(x)c(x) the b(x) is a factor of a(x) If d(x) = a(x)f(x), then d(x) = b(x)c(x)f(x) and b(x) is a factor of d(x).

  • Anonymous

    thank you

  • Anonymous

    If polynomial A is a factor of polynomial B then every root of the polynomial A be a root of B

  • Anonymous

    YES

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