Algebra 2

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write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i

  • Algebra 2 -

    If (x - 2i ) then also the complex conjugate (x+2i) must be a factor. Then of course (x-4) so:
    (x-2i)(x+2i)(x-4)
    =(x^2+4)(x-4)
    =x^3 - 4 x^2 + 4 x -16

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