# How do you write a polynomial in standard form, then classify it by degree and number of terms x^7y^2 + 4x^3y + 10x^3?

Feb 22, 2018

Currently is in standard form, degree$= 9$; There are $3$ terms

#### Explanation:

Our polynomial is in standard form when the exponents of $x$ are descending, and the exponents of $y$ are descending. Right now, it is in standard form because from left to right, the exponents on $x$ go from $7$ to $3$ to $3$, and on the $y$ terms, the exponents go from $2$ to $1$ to $0$.

NOTE: ${y}^{0}$ can go at the end of the last term since it is equal to $1$ and will not change the meaning of the expression.

Degree: This would be a $9 t h$ degree polynomial, because the highest exponent is on the term ${x}^{7} {y}^{2}$, and if we add the exponents, we get $9$ as the degree.

Terms: The terms are separated by the addition signs, thus we have $3$ terms.

Hope this helps!