Problema Solution
Form a polynomial, f(x), with real coefficients having the given degree and zeros.
Degree: 4; zeros: 4i and 5i
Answer provided by our tutors
Zeros are x= +/-4i and +/-5i
(x + 4i)(x-4i) = 0 => x^2 +16 =0
(x + 5i)(x-5i) = 0 => x^2 +25 =0
So
(x^2 +16)(x^2 +25)=0
x^4 + 41x^2 +400 = 0
So f(x) = x^4 + 41x^2 +400