# How do you write a polynomial in standard form, then classify it by degree and number of terms -7x^2-x^3+x+5+2?

Feb 11, 2018

See explanation.

#### Explanation:

To write a polynomial in a standard form you have to order its terms by the decreasing powers of the variable and reduce the like terms if possible.

$- 7 {x}^{2} - {x}^{3} + x + 5 + 2 = - {x}^{3} - 7 {x}^{2} + x + 5 + 2 =$

$= - {x}^{3} - 7 {x}^{2} + x + 7$

The last expression is in the standard form. The highest power, to which $x$ is raised is $3$, and it has $4$ terms, so it is a quadrinomial of the third degree.