# How do you write a polynomial in standard form, then classify it by degree and number of terms −3x^4y^2 + 4x^4y^5 + 10x^2?

Jan 21, 2018

See below

#### Explanation:

For a polynomial to be written in standard form
The one with greatest power is to be written first and then with decreasing powers.
For this polynomial the standard form is
$4 {x}^{4} {y}^{5} - 3 {x}^{4} {y}^{2} + 10 {x}^{2}$

The degree or the highest power is the greatest possible value of sum all powers of all variable in a single term.
For this polynomial the degree is 4+5 = 9.
And the number of terms in it are 3, thus it is a trinomial.