Question

Find polynomial function with real coefficiants with given zeros? (Can be more then one answer) 1) 3, i, -i 2) 2, -4, i, -i , -4

Answer 1

1) \[(x ^{2}+1)(x-3)=x ^{3}-3x ^{2}+x-3\]

Answer 2

2)
\[(x ^{2}+1)(x+4)^{2}(x-2)=x ^{5}+6x ^{4}+x ^{3}-26x ^{2}-32\]

Answer 3

Thankk you!