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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

1 answer

(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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