Math Algebra

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Find a polynomial p(x) with real coefficients having the given zeros.

6,-14, and 4+3i

  • Math Algebra -

    4-3i must also be a root, so we have

    p(x) = (p-6)(p+14)(p-(4+3i))(p-(4-3i))
    = (p-6)(p+14)((p-4)^2 + 3^2)
    = (p-6)(p+14)(p^2-8p+25)
    = p^4 - 123p^3 + 872p - 2100

  • Math Algebra -

    Perfect Thanks,

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