Question 1049443
Given the zeros, -4, 5, -2, -√14, -2i; write a polynomial function or least degree that has rational coefficients. 
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To arrive at rational coefficients -sqrt(14) must be paired with +sqrt(14)
and +2i must be paired with -2i.
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Then:
f(x) = (x+4)(x-5)(x+2)(x+sqrt(14))(x-sqrt(14)(x+2i)(x-2i)
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f(x) = (x+4)(x-5)(x+2)(x^2-14)(x^2+4)
etc.
Cheers,
Stan H.
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