discussion 5
Factoring |
Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:
- On pages 345, 346, and 353 of Elementary and Intermediate Algebra, there are many factoring problems. You will find your assignment in the following table.
If your assigned number is: | Factor, if possible. If the polynomial is prime, say so. | Factor completely. If the polynomial is prime, say so. | Factor using the AC method. If the polynomial is prime, say so. |
1 | y2 + 6y + 5 | p. 345 #82 | 2×2 + 11x + 5 |
2 | w2 + 6w + 8 | p. 345 #84 | 2h2 + 7h + 3 |
3 | b2 + 7b + 12 | p. 345 #86 | 3t2 + 8t + 5 |
4 | – 9m + m2 + 14 | p. 346 #88 | 3×2 – x – 2 |
5 | a2 + 5a – 6 | p. 346 #90 | 21×2 + 2x – 3 |
6 | x2 – x – 12 | p. 346 #92 | 3a2 – 14a + 15 |
7 | a2 – 5a – 50 | p. 346 #94 | 7y2 + 16y – 15 |
8 | x2 + 8x + 15 | p. 346 #96 | 4×2 + 17x – 15 |
9 | a2 + 6a – 40 | p. 346 #98 | 8×2 – 10x – 3 |
10 | m2 – 17m + 16 | p. 346 #100 | 9t2 + 5t – 4 |
11 | m2 + 6m – 16 | p. 346 #102 | 15×2 – 7x – 2 |
12 | m2 – 10m + 25 | p. 346 #104 | 10×2 + 17xy + 3y2 |
13 | x2 + 3x + 3 | p. 346 #106 | 3a2 + 2ab – 21b2 |
14 | y2 + 3y – 10 | p. 353 #24 | 3m2 – 13mn + 12n2 |
15 | y2 – 6y – 8 | p. 353 #26 | 7b2 + 8b + 1 |
16 | x2 – 25x + 150 | p. 353 #28 | 15y2 + 8y + 1 |
17 | w2 + 8w + 16 | p. 353 #30 | 3y2 + 10y + 7 |
18 | m2 + 20 + 21m | p. 353 #32 | 6z2 + 13z + 5 |
19 | x2 – 5x – 3 | p. 353 #76 | 15×2 + 13x – 2 |
20 | h2 + 5h – 36 | p. 353 #78 | 8×2 – 22x + 5 |
21 | m2 + 23m + 24 | p. 353 #80 | 15×2 + 31x + 2 |
22 | t2 – 10t – 24 | p. 353 #88 | 3×2 + 11x + 10 |
23 | t2 – 12t – 28 | p. 353 #90 | 3×2 – 17x + 10 |
24 | 200 + 30t + t2 | p. 353 #92 | 8×2 – 2xy – y2 |
25 | b2 – 7b + 8 | p. 345 #82 | 10a2 – 27ab + 5b2 |
26 | z2 + 18z + 45 | p. 345 #84 | 2×2 – x – 15 |
27 | x2 – 2x – 15 | p. 345 #86 | 4×2 – 19x – 5 |
28 | x2 – 14x + 45 | p. 346 #88 | 4b2 – 16b + 15 |
29 | b2 + 11b + 30 | p. 346 #90 | 8y2 – 14y – 15 |
30 | w2 – 2w – 24 | p. 346 #92 | 6z2 – 13z – 5 |
31 | b2 – 9b – 22 | p. 346 #94 | 10b2 + 7ab + a2 |
32 | t2 + 14t + 24 | p. 346 #96 | y2 + yt – 12t2 |
33 | y2 – 4y – 32 | p. 346 #98 | x2 – 5xs – 24s2 |
34 | b2 – 10b + 21 | p. 346 #100 | 1 – xy – 20x2y2 |
35 | m2 – 7m – 7 | p. 346 #102 | 12m2n2 – 8mn + 1 |
36 | m2 – 6m – 16 | p. 346 #104 | 8a2 + 10a – 3 |
37 | r2 – 7r – 60 | p. 346 #106 | 2×2 + 7x + 6 |
38 | x2 – 4x – 4 | p. 353 #24 | 15×2 + 17x + 4 |
39 | b2 – 15b + 26 | p. 353 #26 | 3t2 + 16t – 12 |
40 | b2 + 4 | p. 353 #28 | 9×2 – 9x + 2 |
41 | – 2a + a2 – 35 | p. 353 #30 | 2×2 + 5x – 3 |
42 | x2 + 13x +40 | p. 353 #32 | 6w2 – 5w – 6 |
43 | b2 – 8b + 15 | p. 353 #76 | 3a2 + a – 2 |
44 | v2 – 22v – 75 | p. 353 #78 | 9t2 – 5t – 4 |
45 | w2 + 30w + 81 | p. 353 #80 | 2×2 + 5x – 3 |
- For the first two problems, factor the polynomials using whatever strategy seems appropriate. State what methods you will use and then demonstrate the methods on your problems, explaining the process as you go. [If you have a four term polynomial to factor, you will need to use factoring by grouping. Two examples of this process are shown on p. 331 of Elementary and Intermediate Algebra.]
- For the third problem, make sure you use the “ac method” to factor. Here is a video that shows that process:https://ashford.mediaspace.kaltura.com/media/MAT221+AC+Method/0_j143fdqs (Links to an external site.). Show the steps of this method in your work in a similar manner as how the book shows it in examples.
- Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
- Factor
- GCF
- Prime factors
- Perfect square
- Grouping
Your initial post should be 150-250 words in length. Respond to at least two of your classmates’ posts by Day 7 in at least a paragraph. Do you agree with how they used the vocabulary? Do their answers make sense?
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