SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree; 4 Zeros; 4+4i; 4 Multiplicity 2

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Question 897370: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree; 4 Zeros; 4+4i; 4 Multiplicity 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complex roots always come in complex conjugate pairs.
f%28x%29=%28x-%284%2B4i%29%29%28x-%284-4i%29%29%28x-4%29%5E2
f%28x%29=%28x%5E2-8x%2B32%29%28x%5E2-8x%2B16%29
highlight%28f%28x%29=x%5E4-16x%5E3%2B112x%5E2-384x%2B512%29