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.
