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#?

1 Answer
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^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#