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

May 29, 2017

$- {x}^{3} + 3 x + 6$

Cubic expression (degree $3$)

$3$ terms

#### Explanation:

We have: $- 2 x + 6 - {x}^{3} + 5 x$

A polynomial in standard form is expressed by ordering the terms by degree from left to right, in descending order:

$= - {x}^{3} + 5 x - 2 x + 6$

Let's collect the like terms:

$= - {x}^{3} + 3 x + 6$

This is a cubic expression, as the leading term has degree $3$.

The number of terms is also $3$.