SOLUTION: S has degree 4 and zeros 4i and 5i.

Algebra.Com
Question 1007868: S has degree 4 and zeros 4i and 5i.
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
If that is so, the polynomial is found by
(x + 4i)(x - 4i)(x + 5i)(x - 5i) =
(x^2 + 16)(x^2 + 25) =
x^4 + 41x^2 + 400

RELATED QUESTIONS

Form a polynomial f(x) with real coefficients having the degree and zeros degree 4 zeros (answered by Boreal)
Add and simplify.... (answered by ikleyn)
Find a polynomial with integer coefficients that has degree 4, zeros 5i and 1+i, and... (answered by josgarithmetic)
Find a polynomial with integer coefficients that satisfies the given conditions. Q has... (answered by CubeyThePenguin)
Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: (answered by DrBeeee)
Form a polynomial f(x) with real coefficients having the given degree and zeros.... (answered by ewatrrr)
Hi! Find a polynomial with integer coefficients and a leading coefficient of one that... (answered by RAY100,solver91311)
find a polynomial of degree 3 and zeros of -4,... (answered by ikleyn)
Form a polynomial f(x) with real coefficients having the given degree and zeros.... (answered by Alan3354)