# How do you write a polynomial in standard form, then classify it by degree and number of terms 6x^2-9x^3+3?

Jul 9, 2018

Standard form: $- 9 {x}^{3} + 6 {x}^{2} + 3$

Degree: $3$

Number of terms: $3$

#### Explanation:

To write it in standard form, it must be from largest to smallest exponent.

The largest exponent is $3$, then $2$, then none, so let's order the expression that way:
$- 9 {x}^{3} + 6 {x}^{2} + 3$

Classifying it by degree means to find the highest exponent. That would be $3$ (from $6 {x}^{2}$)

The number of terms means how many "terms" are separated by the $+$ and $-$ operations. Therefore, there are $3$ terms.

Hope this helps!