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The below mentioned following examples will clarify the meaning of degree of polynomial in better way. The examples are as follows.

The first term has a degree of 5 (the sum of 2 and 3 that is 5)

The second term has a degree of 2.

Since the third term does not have any variable so the degree of the term is 0.

Therefore the degree of above polynomial is 5, which is the degree of highest term.

The first term has a degree of 6 (the sum of 3 and 3 that is 6)

The second term has a degree of 3.

Since the third term does not have any variable so the degree of the term is 0.

As the degree of highest term are 6, therefore by definition the degree of the polynomial 5x^3y^3 + 2y^3 + 6 is 6. Hence verified.