SOLUTION: find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 4-i and 6-3i

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Question 840451: find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 4-i and 6-3i
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-1%29%28x-%284-i%29%29%28x-%284%2Bi%29%29%28x-%286-3i%29%29%28x-%286%2B3i%29%29
f%28x%29=%28x-1%29%28x%5E2-8x%2B17%29%28x%5E2-12x%2B45%29
f%28x%29=x%5E5-21x%5E4%2B178x%5E3-722x%5E2%2B1329x-765