SOLUTION: Find a polynomial function of least degree having only real​ coefficients, a leading coefficient of​ 1, and zeros of 3 and 5 plus i .

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Question 1086041: Find a polynomial function of least degree having only real​ coefficients, a leading coefficient of​ 1, and zeros of 3 and 5 plus i .
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Real coefficients with complex roots means the roots are in complex conjugate pairs.
f%28x%29=1%28x-3%29%28x-%285%2Bi%29%29%28x-%285-i%29%29
f%28x%29=1%28x-3%29%28x%5E2-10x%2B26%29
f%28x%29=x%5E3-13x%5E2%2B56x-78