Question

Express the polynomial z2 − z4 + 2z2 in standard form and then classify it.

Answer 1

The answer in standard form is  
-z^4 + 3z^2
This is a quartic polynomial

The term with the highest exponent is listed first, then you list the next largest and so on. The like terms are z^2 and 2z^2 which combine to 3z^2