find the degree of the given polynomial

Question

2x^2y^4-6xy+6xy^3.

Answer 1

The polynomial 2x ²y ⁴ - 6xy + 6xy ³

Polynomials in two variables are algebraic expressions consisting of terms in the form ax ⁿy ^m.

The degree of each term in a polynomial in two variables is the sum of exponents in each term,

And the degree of polynomial is the largest such sum.

Degree of 2x ²y ⁴ = 6, degree of -6xy  = 2 , degree of 6xy ³ = 4.

2x ²y ⁴ - 6xy + 6xy ³ degree = 6.