Find the Degree 2x^3y^5-9x^4y^7+12x^2y^10-8xy

$2 x^{3} y^{5} - 9 x^{4} y^{7} + 12 x^{2} y^{10} - 8 x y$

Step 1

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

$2 x^{3} y^{5} \to 8$

$- 9 x^{4} y^{7} \to 11$

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

$- 8 x y \to 2$

Step 2

The largest exponent is the degree of the polynomial.

$12$