SOLUTION: find a polynomial function of least degrees having only real coefficients, a leading coefficent of 1, and zeros of 5,1-3i, and 2+3i

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Question 1041584: find a polynomial function of least degrees having only real coefficients, a leading coefficent of 1, and zeros of 5,1-3i, and 2+3i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Polynomials with real coefficients must have complex roots in complex conjugate pairs.

f%28x%29=%28x-5%29%28x%5E2-2x%2B10%29%28x%5E2-4x%2B13%29
f%28x%29=x%5E5-11x%5E4%2B61x%5E3-221x%5E2%2B460x-650