# How do you write a polynomial in standard form, then classify it by degree and number of terms xy^3 + 3x^2y – 7 ?

Jan 11, 2018

The answer is $x {y}^{3} + 3 {x}^{2} y - 7$ and the polynomial is of the fourth degree, with 3 terms.

#### Explanation:

Given polynomial equation is

$x {y}^{3} + 3 {x}^{2} y - 7$

xy^ has a degree of 4

$3 {x}^{2} y$ has a degree of 3

$- 7$ has a degree of 0

The expression has 3 terms:
$\textcolor{w h i t e}{\text{XXX}} x {y}^{3}$
$\textcolor{w h i t e}{\text{XXX}} 3 {x}^{2} y$ and
$\textcolor{w h i t e}{\text{XXX}} - 7$

The answer is $x {y}^{3} + 3 {x}^{2} y - 7$

and the polynomial is of the fourth degree with three terms.