Complex zeros of polynomials always occur in conjugate pairs. Hence if is a zero of a polynomial then is a zero as well.
Your five zeros are , , , , and .
If is a zero of a polynomial in , then is a factor of the polynomial.
Your five factors are therefore:
Just multiply the five factors together and collect like terms. I'll get you started by multiplying the complex factors to get rid of all the imaginary parts.
You can do the rest yourself.
John
My calculator said it, I believe it, that settles it
