pre calculus
posted by amy on .
use given info about a polynomial whose coefficients are real numbers to find the remaining zeros.
Degree: 6 so I know there's at least 6
zeros:5isqrt7, 13 + 2ni, 5  3i
(where n is a real number)
any ideas??????

The idea is to remember that you're dealing with a polynomial with real coefficients. That means that any complex roots occur in conjugate pairs.
So, that means that the six roots are 5isqrt7 5+isqrt7
13+2ni 132ni
53i 5+3i
Now you just multiply all the factors together to get the polynomial.