#### Answer

$z^{3}+2z^{2}-2z+3$ units

#### Work Step by Step

We know that the perimeter of a triangle is equal to the sum of the length of its sides. Therefore, we can add the three given sides in order to find the perimeter of this triangle.
$(z+2)+(2z^{2}+z)+(z^{3}-4z+1)$
Next, we can combine like terms to simplify.
$z^{3}+2z^{2}+(z+z-4z)+(2+1)=z^{3}+2z^{2}-2z+3$ units