SOLUTION: Form a Polynominal F(x) with real coefficients having the given degree and zeros Degree 4; zeros: 5-5i; 4 multiplicity 2

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Question 366892: Form a Polynominal F(x) with real coefficients having the given degree and zeros
Degree 4; zeros: 5-5i; 4 multiplicity 2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If x=5-5i is a zero, then so is x=5%2B5i.
f%28x%29=%28x-%285-5i%29%29%28x-%285%2B5i%29%29%28x-4%29%5E2
f%28x%29=%28x%5E2-10x%2B50%29%28x%5E2-8x%2B16%29
highlight%28f%28x%29=x%5E4-18x%5E3%2B146x%5E2-560x%2B800%29