Answer:
The degree of the given polynomial is 5
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.
The degree of a monomial is the sum of the exponents of the variables that appear in it.
We have the following polynomial:
[tex]3x^2y + 4xy + 1 - 5x^4y - 6y[/tex]
Degree of the first monomial: 2+1=3
Degree of the next monomial: 1+1=2
Degree of the next monomial: 0
Degree of the next monomial: 4+1=5
Degree of the next monomial: 1
Thus, the degree of the given polynomial is 5
