Question

find a polynomial with zeroes at -2, -1, 2-i, and 3

Answer 1

( x + 2)(x+1)(x - (2-i)) ( x- (2+i))(x-3)

Answer 2

expand that expression , we can use wolfram

Answer 3

good luck using wolfram in an exam in class
you want another method?

Answer 4

forgot to mention, complex roots come in pairs.

if 'a + bi' is a root, then 'a - bi ' is a root