# Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates

**Week 1 – Discussion 1**

Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates. Your grade will reflect both the quality of your initial post and the depth of your responses.

**Domains of Rational Expressions**

**Domains of Rational Expressions**

In this discussion, you are assigned two rational expressions to work on. Remember to factor all polynomials completely. Read the following instructions in order and view the example to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)

**If your assigned number is:**

**Your first rational expression is**

**Your second rational expression is**

1

__a2 + 2a – 10 __

–11a

__2x – 8__

x2 – x

2

__y2 + 11y + 30__

y + 5

__5a – 3 __

a2 – 49

3

__u2 + u – 72 __

3u – 15

__2w – 1 __

w2 – 9

4

__x2 – 6x – 55 __

x2 – 3x – 28

__b – 3__

4b2 – 16

5

__16b2 – 1__

2b2 + 11b – 6

__c2 + 2c – 10 __

10c2 – 80c + 160

6

__4w2 – 9__

–5w

__y2 – 4 __

2y2 + y – 1

7

__a2 + 6a + 9__

a – 10

__t2 + 2t – 10 __

t2 – 6t + 8

8

__81m2 – 16 __

5m + 10

__22x + 11__

2×2 – x

9

__3a2 + 16a + 5__

a2 – 7a + 10

__b2 + 7b + 10 __

b2 – 9

10

__4×2 – 1__

6x – 18

__r2 + 2r – 24 __

r – 2

11

__t2 – 14t + 49__

4t – 8

__3q2 – 22q + 24 __

q2 – 1

12

__v2 – v – 20 __

v2 + 4v + 3

__6t – 3__

t

13

__n2 – 2n – 15 __

n – 2

__8k + 6 __

8k2 + 2k – 3

14

__64k2 – 9 __

2

__s2 + 2s – 15 __

s2 – 36

15

__4k2 – 12k + 9__

4k

__3w2 + 36 __

2w – 8

16

__5m2 + m__

m + 6

__12a – 15 __

5a – 25

17

__7t2 – 14t__

4t2 – 9

__36 – w2__

w

18

__22x + 11__

x2 – 3x – 10

__1 – 2c __

20c2 + 10c

19

__20c3 + 5c2 – c __

7c – 14

__3a2 – 12a __

24a2 – 18a

20

__g2 – 36 __

6g2 + 15g

__7n – 2 __

4n2 – 25

21

__1 – 2x + x2__

x2 – 1

__2c2 + 5c – 25 __

14c – 21

22

__144 – w2__

8 – 2w

__z2 – 8z + 16__

–12

23

__4 + 16n2__

n – 8

__3×2 – 2x – 1 __

x2 – 81

24

__y2 – 25__

–6y

__ 37 __

2p – 4p2

25

__a2 – 100__

a2 + 5a + 6

__3b2 – 9 __

b – 8

26

__1 – x2__

x2 + 10x + 25

__2u – 2 __

1 – u

27

__3z + 3__

3z

__5y3 – 75y __

2y2 + y – 15

28

__9 – 36×2__

8

__15k2 – 5k __

k2 – k – 30

29

__x2 – 7x + 12__

5x

__w2 – 9w – 36 __

16w2 – 1

30

__m2 + 13m + 40__

6m

__4y – 3 __

25y2 – 4

31

__k2 – 8k__

17

__2b + 1 __

3b2 – 12

32

__9b2 + 3__

41

__2x – 6 __

10×2 + 5x

33

__15×2 + 45__

50x

__42__

m2 – 3m

34

__g2 + 46g __

g

__3k + 1 __

k2 + k – 42

35

__4a – 5 __

14

__4m3 +16m__

3m2 – m

36

__x2 – 25__

23

__b2 – 18b + 81 __

3b2 – 12

37

__9m2 – 4__

23

__5x + 15 __

x2 – 49

38

__d2 + 9__

33

__m2 + 4m – 5__

5m2 + m

39

__13n2 – 13n __

6n

__2w + 1__

9w2 – 1

40

__4×3 – 16__

x

__14 __

2b2 – 8

41

__x2 + 2x – 10 __

3x

__2x – 8__

x2 – 7x + 10

42

__x2 + x – 72 __

24

__5b – 3 __

b2 – 4

43

__w2 + 11w + 30__

7w

__2n – 1 __

4n2 – 9

44

__g2 – 6g – 55 __

g

__k3 + k__

k2 – k – 42

45

__16t2 – 1__

64

__x2 + 2x – 10 __

3x – 15

- Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero.
- Find the domain for each of your two rational expressions.
- Write the domain of each rational expression in set notation (as demonstrated in the example).
- Do both of your rational expressions have excluded values in their domains? If yes, explain why they are to be excluded from the domains. If no, explain why no exclusions are necessary.
- 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.- Domain
- Excluded value
- Set
- Factor
- Real numbers

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7. Is their work similar to your own? Did they use the vocabulary words correctly? Do you understand their answers?

Carefully review the Grading Rubric for the criteria that will be used to evaluate your discussion.