SOLUTION: Form a polynomial f(x) with real coefficients having the degree and zeros degree 4 zeros 4i and -5i

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Question 1029128: Form a polynomial f(x) with real coefficients having the degree and zeros degree 4 zeros 4i and -5i
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The complex roots are + and -
The factors to get +/- 4i are (x^2+16)
to get +/- 5i are (x^2+25)
The polynomial is x^4+41x^2+400.
graph%28300%2C200%2C-10%2C10%2C-10%2C1500%2Cx%5E4%2B41x%5E2%2B400%29