Which description is correct for the polynomial −5x2−3x+3 ?

1)quartic binomial

2)cubic binomial

3)quadratic binomial

4)quadratic trinomial

which description is correct for the polynomial −5x3−4x+1 ?

1)cubic monomial

2)cubic binomial

3)cubic trinomial

4)quadratic trinomial

what is the degree of the polynomial 3xy^2z−2z^5+2/3y^2z^4 ?

1)2

2)4

3)5

4)6

The degree of a polynomial is the highest power of its terms. In the polynomial , the degree of the polynomial is 2.

There is also a name to each degree of a polynomial:
Degree 0 – constant
Degree 1 – linear
Degree 2 – quadratic
Degree 3 – cubic
Degree 4 – quartic
Degree 5 – quintic
You will probably not deal with polynomials after a degree of 5, but they will usually be called an nth-degree polynomial (e.g., 10th degree polynomial).

You can further classify polynomials according to the number of terms.
1 term: monomial (techinically not a polynomial as a polynomial consists of 2 or more monomials)
2 terms: binomial
3 terms: trinomial
After 3 terms, the polynomial is called a polynomial of n terms (e.g., polynomial of 4 terms).

So for the polynomial , its highest power is 3, so its degree is 3. It also has 3 terms, making it a cubic trinomial.