# How do you write a polynomial in standard form, then classify it by degree and number of terms z^2-z^4+2z^2 ?

Jul 20, 2018

$f \left(z\right) = - {z}^{4} + 3 {z}^{2}$

Degree: 4, Number of terms: 2

#### Explanation:

Let $f \left(z\right) = {z}^{2} - {z}^{4} + 2 {z}^{2}$

$= - {z}^{4} + {z}^{2} \left(1 + 2\right)$

$= - {z}^{4} + 3 {z}^{2}$

Hence, $f \left(z\right)$ is of degree 4 with 2 terms.