1. Find the degree of the polynomial $4 x^{3} y-4 x y+2$. A. 6 C. 2 B. 4 D. 3

Step 1 ：Find the degree of the polynomial \(4 x^{3} y-4 x y+2\).

Step 2 ：The degree of a polynomial in two variables is the highest sum of the exponents in any term of the polynomial.

Step 3 ：In this case, we need to find the highest sum of the exponents in the terms of the polynomial \(4 x^{3} y-4 x y+2\).

Step 4 ：The exponents in the terms are [(3, 1), (1, 1), (0, 0)].

Step 5 ：The sum of the exponents in each term gives the degrees [4, 2, 0].

Step 6 ：The highest degree is 4.

Step 7 ：Final Answer: The degree of the polynomial \(4 x^{3} y-4 x y+2\) is \(\boxed{4}\).