The given polynomial is
p(x,y) = 3x² + 6xy - 10x⁵ + y⁶ - 10x³y⁵
To determine the degree of the polynomial, let us determine the degrees of the monomials.
3x² has degree 2,
6xy has degree 1+1 = 2,
10x⁵ has degree 5,
y⁶ has degree 6,
10x³y⁵ has degree 3+5 = 8
Answer:
The degree of the polynomial is not 6, but 8.
Step-by-step explanation:
The degree of the polynomial is 8 because that is the highest degree of the terms in the polynomial.