Choose the correct answer for the following:

The degree of the polynomial x² – 5x²y³ + 30x³ y⁴ – 576xy is

x² – 5x²y³ + 30x³ y⁴ – 576xy is a polynomial in variable x and y.

Term 1: x² variable x, power of x is 2. Hence the power of the term is 2.

Term 2: – 5x²y³ the variables are x and y; the power of x is 2 and the power of y is 3.

Hence the power of the term –5x²y³ is 2 + 3 = 5 [Sum of the exponents of variables x and y ].

Term 3: 30x³y⁴ the variables are x and y; the power of x is 3 and the power of y is 4. Hence the power of the term 30x³y⁴ is 3 + 4 = 7 [Sum of the exponents of variables x and y ].

Term 4: – 576xy the variables are x and y; the power of x is 1 and the power of y is 1. Hence the power of the term -576xy is 1 + 1 = 2 [Sum of the exponents of variables x and y ].

So the highest power is 7,hence the degree of the polynomial is 7.