What is the degree of the polynomial 5x^2y^2 + 4y^3 + 3x + 10

The answer would be 4

Example- The degree is the term with the greatest exponent.

Recall that for y2, y is the base and 2 is the exponent.

More examples showing how to find the degree of a polynomial.

Example #1: 4x2 + 6x + 5

This polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5.

The exponent of the first term is 2.

The exponent of the second term is 1 because 6x = 6x^1.

The exponent of the third term is 0 because 5 = 5x^0.

What? 5x^0 = 5?

Well, anything with an exponent of 0 is always equal to 1.

Thus, 5x^0 = 5 × x^0 = 5 × 1 = 5

Since the highest exponent is 2, the degree of 4x^2 + 6x + 5 is 2.