SOLUTION: Form a polynomial F(x) with real coefficients having the given degree and zeros. Degree 5; zeroes:1; -i; -3+i

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Question 998124: Form a polynomial F(x) with real coefficients having the given degree and zeros.
Degree 5; zeroes:1; -i; -3+i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Real coefficients mean that complex roots are in conjugate pairs.
F%28x%29=%28x-1%29%28x%2Bi%29%28x-i%29%28x-%28-3%2Bi%29%29%28x-%28-3-i%29%29
F%28x%29=%28x-1%29%28x%5E2%2B1%29%28x%5E2%2B6x%2B10%29
F%28x%29=%28x%5E3-x%5E2%2Bx-1%29%28x%5E2%2B6x%2B10%29
F%28x%29=x%5E5%2B5x%5E4%2B5x%5E3-5x%5E2%2B4x-10