Question

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

Answer 1

`-2x^3-4x^2-x`

It is a cubic trinomial.

Explanation:

The standard form of a polynomial is `A_1x^n+A_2x^(n-1)+...+A_nx+A_(n+1)`, where each `A_y` refers to a different value.

In the given polynomial, the standard form is
`-2x^3-4x^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).