Question

Give one example of a monomial of degree 23 and binomial of degree 50.

Answer 1

Hint:
Here we will use the basic concept of the monomial and the binomial equations. The degree of an expression is defined as the highest exponent of the variable of the expression. Using this we will write the monomial equation having the exponent of the variable equal to 23. Then we will write the binomial equation having the exponent of the variable equal to 50.

Complete step by step solution:
First, we will write the monomial equation.
We know that in the monomial equation only one term is available and we have to write this equation with the exponent of the variable equal to 23.
Therefore, the monomial equation can be \[{x^{23}}\] or \[{y^{23}}\].
Now we will write the binomial equation. We know that in the binomial equation two terms are available and we have to write this equation with the exponent of the variable equal to 50.
Therefore, the binomial equation can be \[{x^{50}} + c\].

Hence, the monomial of degree 23 is \[{x^{23}}\] or \[{y^{23}}\] and binomial of degree 50 is \[{x^{50}} + c\].

Note:
We know that monomial and binomial are types of the polynomial. A polynomial is defined as an equation or an expression that consists of constants, variables, and its coefficients. In this question, we have taken variables as \[x\] and \[y\], but we can take any variable of our choice. Here \[c\] represents the constant, so we can put any number in place of \[c\]. The constant can be any integer, fraction or decimal number.