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

May 29, 2018

color(orange)(5x^3y^5 + x^4y^2 + 10x is the standard form.

Degree of polynomial: $8$

Number of terms: $3$

#### Explanation:

Polynomials in two variables are algebraic expressions consisting of terms in the form . The degree of each term in a polynomial in two variables is the sum of the exponents in each term and the degree of the polynomial is the largest such sum.

${x}^{4} {y}^{2} + 5 {x}^{3} {y}^{5} + 10 x$

$5 {x}^{3} {y}^{5} + {x}^{4} {y}^{2} + 10 x$ is the standard form.

Degree of polynomial: $8$

Number of terms: $3$