Posta150-word response to one of the discussion prompts by Day 5 in the discussion area below:

**Prompt 1**

**View** one of the following Week 3 videos:

- Patrick Just Math Tutorials: “Factoring Trinomials (a Quadratic Trinomial) by Trial and Error”
- Patrick Just Math Tutorials: “Factoring Using the Greatest Common Factor”
- Patrick Just Math Tutorials: “Factoring By Grouping – Ex 1”

**Answer**the following questions:

- How do you know when you have found the greatest common factor?
- How does the method of factoring using the greatest common factor differ from using the method of grouping?
- Which method do you prefer for factoring? Why? Provide an example in your explanation.

**Prompt 2**

View one of the following Week 3 videos:

- Patrick Just Math Tutorials: “Factoring Trinomials (a Quadratic Trinomial) by Trial and Error”Patrick Just Math Tutorials: “Factoring By Grouping – Ex 1”

**Answer**the following questions:

- What process do you use to factor polynomials when the leading coefficient is not 1 (example: ax2 + bx + c)?How does this differ from factoring polynomials when the leading coefficient is 1 (example: x2 + bx + c)?Provide two examples with your explanation. One of your examples should be of the form ax2 + bx + c and the other example of the form x2 + bx + c.

**Prompt 3**

View the following Week 3 video:

- Patrick Just Math Tutorials: “Solving Quadratic Equations by Factoring – Basic”

**Answer**the following questions:

- Is it possible to solve every quadratic equation by factoring? Why or why not?