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

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

Algebra.Com

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) (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.

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