Question

form q polynomial, f (x) with real coefficients having the given degree and zeros degree:4 zeros:I, 1+2i

Answer 1

you know how to find a polynomial with zeros \(1+2i\) and \(1-2i\) quickly?

Answer 2

one way is to work backwards
\[x=1+2i\\
x-1=2i\\
(x-1)^2=(2i)^2\\
x^2-2x+1=-4\\
x^2-2x+5=0\]

Answer 3

ok now i look again and it says degree 4
what are the other zeros?