Algebra 1B

MAT 117 /MAT117 Week 3 Discussion Question

Version 8

Week 3 DQ 2

1. What one area from the readings in Week Three are you most comfortable with?

2. Why do you think that is?

3. Using what you know about this area, create a discussion question that would trigger a discussion—that is, so there is no single correct answer to the question.

RESPONSE

1. What one area from the readings in Week Three are you most comfortable with?

The one area from the readings this week in week 3 that I was most comfortable with was Chapter 6,4 on all the Special Type of Factoring.

2. Why do you think that is?

The reason I think that this was the most comfortable was, because of the way the author in this chapter broke down the expressions which the author explained in way to do these different types of Special Factoring with very detailed and in depth examples which make you as the student comprehend the way these problems need to be done with really not having any questions.

3. Using what you know about this area, create a discussion question that would trigger a discussion—that is, so there is no single correct answer to the question.

The question that I will use to create a discussion question that I hope triggers a discussion will be the following:

When recognizing a polynomial if you happen to not recognize a polynomial using one special factor stated in Chapter 6.4 what other special factors can you use on a polynomial that was mentioned and provide a example for that special factor ?

RESPONSE 2

The one area that are from the readings in Week 3 that I am probably the most comfortable with is the section that talks about the factoring by finding the greatest common factor. The reason that I say this is because it helped me to be able to learn how to do factor by using other methods, even if I do not do them very well. If I am able to use the method of finding the greatest common factor then I am usually able to factor out the problem and solve it, and when I am not it makes it harder for me to factor out the problem. When factoring by using the method of finding the greatest common factor what is the best way to check your work, and to what side of the equation do you apply the distributive property to obtain the right answer?

RESPONSE 3

The area that I am most comfortable with is factoring the difference of two squares. This very comfortable to me and I can factor the expression without giving the expression much thought. I feel that I am comfortable with this type of factoring since it is really just simple mathematics.

In reality, everything that we factor is simple math, it just requires the use of a specific formula and remembering what formula to use. The factoring of two squares, is a simple formula and can easily be written out, and then expanded back out!

What real world applications would you need the assistance of the difference of two squares formula? Are there any two terms that cannot be factored using this method?

Here is a difference of two squares expression to solve;

x²-11,449

RESPONSE 4

From this week’s reading regarding special types of factoring, including; factoring the difference of two squares, factoring perfect square trinomials, and the sum and difference of two cubes, I feel that what I am the most comfortable with factoring the difference of two squares. I think my reasoning for this is that it is very similar to what we were working on last week and since the similarities, it is all still fresh in my mind. I also think that figuring out the difference of two squares is simple for me because basically you are just looking at an expression such as x^2 – 64 and recognizing that 8 * 8 = 64 and x * x = x^2, therefore when factoring you would rewrite the expression as (x – 8)(x +8) . Class,

Please explain how factoring w^3 + z^3 is different from factoring w^3 – y^3. Remember to use the information from this