Question

Find the degree of the given monomial \[-11{{y}^{2}}{{z}^{2}}\]?
A). 0
B). 2
C). 4
D). 5

Answer 1

Hint: To determine the degree of the monomial, we assume that the given term contains one or more variables. The degree is then calculated by adding the powers of all the variables in the monomial. It's top if a variable has no power written on it. It has a power of one.

Complete step-by-step solution:
A term's degree is usually equal to the highest power of any variable in the tem.
To get the degree of a monomial with more than one variable, add all the powers of the variables in the monomial.
Here, the given monomial is \[-11{{y}^{2}}{{z}^{2}}\]
It has two variables y and z where y has a power 2 and z has a power 2. And x variable is not present in this expression hence, x has a power 0.
As you can see in the above monomial expression that x variable is not there that means power of x is 0.
\[-11{{x}^{0}}{{y}^{2}}{{z}^{2}}\]
Now, the degree of the monomial is given by
\[0+2+2=4\]
Therefore, the degree of the monomial \[-11{{x}^{0}}{{y}^{2}}{{z}^{2}}\] is 4, or we can say that \[-11{{x}^{0}}{{y}^{2}}{{z}^{2}}\] is a 4th degree monomial.
So, the correct option is “option C”.

Note: To answer this type of question, you must first understand what a degree of a monomial entails. While calculating the degree of a monomial. Only the power of all the variables in the monomial is taken into account, not the scalar value before the variable.