# How do you write a polynomial in standard form, then classify it by degree and number of terms 8- 6w - 12w - 8w^2 - 7 - 3w^3?

Aug 7, 2016

$\text{ } - 3 {w}^{3} - 8 {w}^{2} - 18 w + 1$

There are 4 terms and the highest degree (power) is 3

#### Explanation:

Standard form is $\text{ } a {x}^{3} + b {x}^{2} + c x + d$

The only difference is that in this question we have $w$ instead of $x$.

Collecting like terms:

$\text{ } - 3 {w}^{3} - 8 {w}^{2} + \left(- 6 w - 12 w\right) + \left(8 - 7\right)$ giving:

$\text{ } - 3 {w}^{3} - 8 {w}^{2} - 18 w + 1$

There are 4 terms and the highest degree (power) is 3