Find the Degree 4x^6y^3-7x^2y^10+3x^5y^5

$4 x^{6} y^{3} - 7 x^{2} y^{10} + 3 x^{5} y^{5}$

Step 1

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

$4 x^{6} y^{3} \to 9$

$- 7 x^{2} y^{10} \to 12$

$3 x^{5} y^{5} \to 10$

Step 2

The largest exponent is the degree of the polynomial.

$12$