SOLUTION: Find a polynomial of least degree, with integer coefficients and the given zeros. Write answers in expanded form. 7,5i Please show work - I really don't know how to do this!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial of least degree, with integer coefficients and the given zeros. Write answers in expanded form. 7,5i Please show work - I really don't know how to do this!       Log On


   

Question 971182: Find a polynomial of least degree, with integer coefficients and the given zeros. Write answers in expanded form.
7,5i
Please show work - I really don't know how to do this!
Thanks!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
One of your zeros is complex with an imaginary component. Complex zeros of polynomial functions
occur as conjugate pairs. Your THREE zeros are 7, 5i, and -5i.

The factored form of the polynomial with those roots is %28x-7%29%28x-%285i%29%29%28x-%28-5i%29%29. You know of course about i%5E2=-1.

Take this the rest of the way.