Question

State the degree of the algebraic expressions

Answer 1

Step-by-step explanation:

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.

Answer 2

Answer:

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.