Find the degree of the polynomial 2x⁵ + 2x³y³ + 4y⁴ + 5.

Question: Find the degree of the polynomial 2x⁵ + 2x³y³ + 4y⁴ + 5.

Solution:
The degree of a polynomial is the highest of the degrees of its individual terms with non-zero coefficients.

Degree of the polynomial in 2x⁵ = 5
Degree of the polynomial in 2x³y³ = 6
Degree of the polynomial in 4y⁴ = 4
Degree of the polynomial in 5 = 0

Hence, the highest degree is 6
∴ Degree of polynomial = 6