# How do you write a polynomial in standard form, then classify it by degree and number of terms 4-5v-12v-6v^2-4-2v^3?

May 5, 2018

color(magenta)(=>-2v^3-6v^2-17v

=>color(red)(" cubic trinomial."

#### Explanation:

To write a polynomial in standard form, we need to arrange it according to the power:

4−5v−12v−6v^2−4−2v^3

$\implies - 2 {v}^{3} - 6 {v}^{2} - 5 v - 12 v + \cancel{4} - \cancel{4}$

color(magenta)(=>-2v^3-6v^2-17v

Since this polynomial has 3 terms & the degree is 3, it will be a color(red)("cubic trinomial."

~Hope this helps! :)