Question

Find polynomial with degree 5 and zeros 0, -5i, +5i, 1-i, 1+i.

Answer 1

I is i
(x - 0) (x - (-5 I)) (x - (+5 I)) (x - (1 - I)) (x - (1 + I))=\[x^5-2 x^4+27 x^3-50 x^2+50 x \]