## Description

**Post **a 150-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: ax
^{2}+ bx + c)?- How does this differ from factoring polynomials when the leading coefficient is 1 (example: x
^{2}+ bx + c)?- Provide two examples with your explanation. One of your examples should be of the form ax
^{2}+ bx + c and the other example of the form x^{2}+ bx + c.

- Provide two examples with your explanation. One of your examples should be of the form ax

- How does this differ from factoring polynomials when the leading coefficient is 1 (example: x

**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?

## Explanation & Answer

Here you go. Please let me know if you have any question.Thanks

Answer to Prompt 3

One can define the quadratic equation as an equation that one can write in the form as

ax2+bx+c=0. In this equation here, the a, b, and c sig...

### Review

### Review

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