# How do you write a polynomial in standard form, then classify it by degree and number of terms z^4-3z^2+z-4z^2?

May 8, 2016

The degree is the highest power (index) $\to 4$

The number of terms is 3

#### Explanation:

Grouping like terms we have:
${z}^{4} + \left(- 3 {z}^{2} - 4 {z}^{2}\right) + z$

${z}^{4} - 7 {z}^{2} + z$

The degree is the highest power (index) $\to 4$

The number of terms is 3