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)=

Algebra ->  Polynomials-and-rational-expressions -> 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)=      Log On

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