# How do you write a polynomial in standard form, then classify it by degree and number of terms #6xy^2 + 4x^3y^8 + 9x^2#?

##### 1 Answer

Feb 19, 2018

This is an undecic (degree

#### Explanation:

Given:

#6xy^2+4x^3y^8+9x^2#

The degree of each term is the sum of the degrees of the variables:

#overbrace(6xy^2)^(1+2=3) + overbrace(4x^3y^8)^(3+8=11) + overbrace(9x^2)^2#

To put the polynomial in standard form, reorder the terms in descending order of degree to get:

#4x^3y^8+6xy^2+9x^2#

The degree of the polynomial is the highest degree of any term, so

We do not usually use a special name for polynomial of degree

Since there are three terms, this is also called a trinomial.