Question

Which of the following are monomials?

a. 5/7y^3 + 5y^2 + y
b. x^2 + 3
c. 8x
d. x^11
e. x^4 + x^2 + 1
f. 6x^2 + 1/2y^3
(more than one answer)

Answer 1

Option C and D

8x and x^11 are monomials.

Solution:

Given, a set of expressions.

We have to find which of them are monomials.

A monomial is an expression with single term.

Now, let us check one by one options.

`\text { a.) } (5)/(7) y^(3)+5 y^(2)+y \rightarrow \text { more than } 1 \text { term }`

`\begin{array}{l}{\text { b.) } x^(2)+3 \rightarrow \text { more than one term. }} \\\\ {\text { c.) } 8 x \rightarrow 1 \text { term }} \\\\ {\text { d.) } x^(11) \rightarrow 1 \text { term }} \\\\ {\text { e.) } x^(4)+x^(2)+1 \rightarrow \text { more than one term. }} \\\\ {\text { f.) } 6 x^(2)+(1)/(2) y^(3) \rightarrow \text { more than one term. }}\end{array}`

Hence, option c and d are monomials.