SOLUTION: Write a polynomial function of least degree that has real coefficients, the given zeros and a leading coefficient of 1. 4, -4, -3i

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write a polynomial function of least degree that has real coefficients, the given zeros and a leading coefficient of 1. 4, -4, -3i      Log On


   



Question 174302: Write a polynomial function of least degree that has real coefficients, the given zeros and a leading coefficient of 1.
4, -4, -3i

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write a polynomial function of least degree that has real coefficients, the given zeros and a leading coefficient of 1.
4, -4, -3i
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If the coefficients are all Real Numbers and -3i is a zero, then
so is +3i a zero.
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Polynomial function
f(x) = k(x-4)(x+4)(x+3i)(x-3i), where k is any Real Number except 0.
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Cheers,
Stan H.