Question

Give an example of a monomial of degree 5.

Answer 1

Hint: To give an example of a monomial of degree 5 we should first be aware of what a monomial is. Monomial is a type of polynomial which only has a single term and that term can’t be zero. Then as we have to find a monomial with degree 5 we will take any variable whose degree is 5 and get our desired answer.

Complete step by step answer:
Firstly we will define what a monomial is.
A monomial is a special kind of polynomial which is an algebraic expression having only a single term which can’t be zero. It has only a single variable or a coefficient whose exponent is a whole number. It doesn’t have any variable in the denominator.
Now to find a monomial with degree 5 we just have to keep in mind that the exponent of the variable should be 5 and is not cancelled out in any way.
For example if we take variable $x$ our monomial with degree 5 will be as below:
${{x}^{5}}$
As we change the variable the base value will change but the power will remain the same.
Other examples can be ${{y}^{5}},{{z}^{5}}$ etc.

Hence example of a monomial of degree 5 is ${{x}^{5}},{{y}^{5}},{{z}^{5}}$.

Note: A polynomial is an expression which consists of variables and coefficients which are joined by algebraic operations such as addition, subtraction, multiplication and division. The degree of an expression is the highest power or exponent of the variable in the expression. A monomial is a polynomial having only one term so the degree of the expression depends on that single term only.