Question

Find the degree of the given algebraic expression $xy+yz$.

Answer 1

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 $2$.