# 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?

Jul 6, 2017

See explanation.

#### Explanation:

$8 - 6 w - 12 w - 8 {w}^{2} - 7 - 3 {w}^{3}$

First you can reduce the like terms:

$8 - 18 w - 8 {w}^{2} - 3 {w}^{3}$

Now we can order the terms by decreasing powers of $w$:

$- 3 {w}^{3} - 8 {w}^{2} - 18 w + 8$

This polynomial is in the standard form. From this form you see, that the polynomial:

• has $4$ terms,

• is a polynomial of third degree. (the highest exponent to which the unknown is raised is $3$)