Question

Find the degree of the following polynomial:

xy + x2 + y2​

Answer 1

Answer:

2

Step-by-step explanation:

Degree means the highest power and here the highest power is 2

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Answer 2

We know that the degree is the term with the greatest exponent and,

To find the degree of a monomial with more than one variable for the same term, just add the exponents for each variable to get the degree.

The given algebraic expression xy+yz has two terms. The first one is xy and the second is yz.

xy has degree 2 (x has an exponent of 1, y also has 1, and 1+1=2)

yz has degree 2 (y has an exponent of 1, z also has 1, and 1+1=2)

Since the degree is same in both the terms that is 2, therefore, the degree of xy+yz is 2.

Hence, the degree of the algebraic expression xy+yz is 2.