Find the Degree 5x^6y^6+3x^5y^2+4x^3y

$5 x^{6} y^{6} + 3 x^{5} y^{2} + 4 x^{3} y$

Step 1

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$5 x^{6} y^{6} \to 12$

$3 x^{5} y^{2} \to 7$

$4 x^{3} y \to 4$

Step 2

The largest exponent is the degree of the polynomial.

$12$