Question

Find the degree of the given algebraic expression $2y^{2}z+10yz$.

• A. $1$
• B. $2$
• C. $3$
• D. $10$

Answer 1

The correct option is C $3$

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 $2y^{2}z+10yz$ has two terms. The first one is $2y^{2}z$ and the second term is $10yz$.

$2y^{2}z$ has degree $3$ ($y$ has an exponent of $2$, $z$ has $1$, and $2+1=3$)

$10yz$ has degree $2$ ($y$ has an exponent of $1$, $z$ also has $1$, and $1+1=2$)

Since the highest degree amongst both the terms is $3$, therefore, the degree of $2y^{2}z+10yz$ is $3$.

Hence, the degree of the algebraic expression $2y^{2}z+10yz$ is $3$.