SOLUTION: Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 5 and 3+i. The polynomial function is f(x)=

Question 1198418: Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 5 and 3+i.
The polynomial function is f(x)=
Answer by ikleyn(52832) (Show Source): You can put this solution on YOUR website!
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This polynomial function is

    f(x) = (x-5)*(x-(3+i))*(x-(3-i)) = (x-5)*((x-3)-i)*((x-3)+i) = (x-5)*((x-3)^2+1) = (x-5)*(x^2-6x+10).    ANSWER

Solved.

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You should include complex conjugate root with each complex root.

The rest is simple arithmetic.

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SOLUTION: Find a polynomial function of least degree having only real​ coefficients, a leading coefficient of​ 1, and zeros of 5 and 3+i. The polynomial function is ​f(x)=