# How do you write a polynomial in standard form, then classify it by degree and number of terms -2x^3-x-4x^2?

Mar 10, 2018

$- 2 {x}^{3} - 4 {x}^{2} - x$

It is a cubic trinomial.

#### Explanation:

The standard form of a polynomial is ${A}_{1} {x}^{n} + {A}_{2} {x}^{n - 1} + \ldots + {A}_{n} x + {A}_{n + 1}$, where each ${A}_{y}$ refers to a different value.

In the given polynomial, the standard form is
$- 2 {x}^{3} - 4 {x}^{2} - x$,
as we have to arrange it in descending orders of degree of monomials.

To classify it by degree, the highest degree in this polynomial is 3.
Hence, it is called a degree-3 polynomial (or cubic in exact)

To classify it by the number of terms, there are a total of 3 terms.
This makes it a trinomial (which means a polynomial with three terms).