Question

Find the degree of the given algebraic expression.
$2y^{2}z+9yz-7z-11x^2{y}^2$

• A. $2$
• B. $3$
• C. $4$
• D. $5$

Answer 1

Answer: (C)

$4$

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 $2y^{2}z+9yz-7z-11x^2{y}^2$ has four terms. The first one is $2y^{2}z$, the second is $9yz$, the third one is $-7z$ and the fourth term is $-11x^2{y}^2$.

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

$9yz$ has degree $2$ ($y$ has an exponent of $1$, $z$ also has $1$, and $1+1=2$)

$7z$ has degree $1$ ($z$ has an exponent of $1$)

$11x^2{y}^2$ has degree $4$ ($x$ has an exponent of $2$, $y$ also has $2$, and $2+2=4$)

Since the highest degree amongst all the terms is $4$, therefore, the degree of $2y^{2}z+9yz-7z-11x^2{y}^2$ is $4$.

Hence, the degree of the algebraic expression $2y^{2}z+9yz-7z-11x^2{y}^2$ is $4$.