Question

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`?

Answer 1

`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^4y^2 + 5x^3y^5 + 10x`

`5x^3y^5 + x^4y^2 + 10x` is the standard form.

Degree of polynomial: `8`

Number of terms: `3`