MTH219T Quadratic Equations discussion

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”

Answerthe 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”

Answerthe 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”

Answerthe following questions:

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