Answer
$3z^4+5z^3+6z^2+3z+1$
Work Step by Step
Combine like terms and multiply each term by each other. Don't let all those zzzz's put you to sleep!
$3z^2z^2+3z^2z+3z^2*1+(2zz^2+2zz+2z*1)+(1z^2+1z+1*1)$
Combine like terms.
$3z^4+3z^3+3z^2+2z^3+2z^2+2z+z^2+z+1$
Simplify. Arrange the expression so that the exponents decline, with the z^4 first and then z^3, etc. Remember exponent rules.
$3z^4+5z^3+6z^2+3z+1$