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College Algebra

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OOPS I got the zeros wrong in the last post...please show work.

Find a polynomial of the specified degree that has the given zeros

Degree 4: zeros -2,0,2,4

  • College Algebra -

    (x+2)(x)(x-2)(x-4) = 0 in factored form.
    That can be multiplied out to give:

    x*(x^2 -4)(x-4) = 0
    [x^3 -4x^2 -4x +16]x = 0
    x^4 -4x^3 -4x^2 +16x = 0

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