Question

Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree: 4; zeros: 1, -1, and 4 - 2i

Answer 1

the one that looks like
\[(x+1)(x-1)(x-(4+2i))(x-(4-2i))\] when you multiply out
it is really not nearly as bad as it looks

Answer 2

the first product
\((x+1)(x-1)\) is easy enough right? it is \(x^2-1\)

Answer 3

the harder one is the second one
would you like to see an easy way to do it?