Of course! Let's identify three possible factors for each of the given monomials:
### 1. [tex]\(-xy^2\)[/tex]
A monomial is an algebraic expression made up of a single term. The monomial [tex]\(-xy^2\)[/tex] can be factored in multiple ways. Here's a list of three possible factors:
- [tex]\(-1 \)[/tex]
- [tex]\(x\)[/tex]
- [tex]\(y^2\)[/tex]
Additionally, if we consider combinations and other possible factors, we could have:
- [tex]\(-x\)[/tex]
- [tex]\(-y\)[/tex]
- [tex]\(-y^2\)[/tex]
- [tex]\(xy\)[/tex]
- [tex]\(-xy\)[/tex]
### 2. [tex]\(2x\)[/tex]
For the monomial [tex]\(2x\)[/tex], we can identify three simple factors as follows:
- [tex]\(1 \)[/tex]
- [tex]\(2\)[/tex]
- [tex]\(x\)[/tex]
Other factors or combinations might include:
- [tex]\(2x\)[/tex]
- [tex]\( \pm 1\cdot 2x\)[/tex]
### 3. [tex]\(-y^2\)[/tex]
Finally, for [tex]\(-y^2\)[/tex], we can list three possible factors:
- [tex]\(-1 \)[/tex]
- [tex]\(y\)[/tex]
- [tex]\(y^2\)[/tex]
Similarly, some additional factors might be:
- [tex]\(-y\)[/tex]
- [tex]\(-y^2\)[/tex]
- [tex]\( -1 \cdot y^2\)[/tex]
In summary, we have identified three basic and simplest factors for each monomial. This detailed examination should help grasp how factors of monomials work!
