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 |
a^{2} + 2a – 10 –11a |
2x – 8 x^{2} – x |
2 |
y^{2} + 11y + 30 y + 5 |
5a – 3 a^{2} – 49 |
3 |
u^{2} + u – 72 3u – 15 |
2w – 1 w^{2} – 9 |
4 |
x^{2} – 6x – 55 x^{2} – 3x – 28 |
b – 3 4b^{2} – 16 |
5 |
16b^{2} – 1 2b^{2} + 11b – 6 |
c^{2} + 2c – 10 10c^{2} – 80c + 160 |
6 |
4w^{2} – 9 –5w |
y^{2} – 4 2y^{2} + y – 1 |
7 |
a^{2} + 6a + 9 a – 10 |
t^{2} + 2t – 10 t^{2} – 6t + 8 |
8 |
81m^{2} – 16 5m + 10 |
22x + 11 2x^{2} – x |
9 |
3a^{2} + 16a + 5 a^{2} – 7a + 10 |
b^{2} + 7b + 10 b^{2} – 9 |
10 |
4x^{2} – 1 6x – 18 |
r^{2} + 2r – 24 r – 2 |
11 |
t^{2} – 14t + 49 4t – 8 |
3q^{2} – 22q + 24 q^{2} – 1 |
12 |
v^{2} – v – 20 v^{2} + 4v + 3 |
6t – 3 t |
13 |
n^{2} – 2n – 15 n – 2 |
8k + 6 8k^{2} + 2k – 3 |
14 |
64k^{2} – 9 2 |
s^{2} + 2s – 15 s^{2} – 36 |
15 |
4k^{2} – 12k + 9 4k |
3w^{2} + 36 2w – 8 |
16 |
5m^{2} + m m + 6 |
12a – 15 5a – 25 |
17 |
7t^{2} – 14t 4t^{2} – 9 |
36 – w^{2} w |
18 |
22x + 11 x^{2} – 3x – 10 |
1 – 2c 20c^{2} + 10c |
19 |
20c^{3} + 5c2 – c 7c – 14 |
3a^{2} – 12a 24a^{2} – 18a |
20 |
g^{2} – 36 6g^{2} + 15g |
7n – 2 4n^{2} – 25 |
21 |
1 – 2x + x^{2} x^{2} – 1 |
2c^{2} + 5c – 25 14c – 21 |
22 |
144 – w^{2} 8 – 2w |
z^{2} – 8z + 16 –12 |
23 |
4 + 16n^{2} n – 8 |
3x^{2} – 2x – 1 x^{2} – 81 |
24 |
y^{2} – 25 –6y |
37 2p – 4p^{2} |
25 |
a^{2} – 100 a^{2} + 5a + 6 |
3b^{2} – 9 b – 8 |
26 |
1 – x^{2} x^{2} + 10x + 25 |
2u – 2 1 – u |
27 |
3z + 3 3z |
5y^{3} – 75y 2y^{2} + y – 15 |
28 |
9 – 36x^{2} 8 |
15k^{2} – 5k k^{2} – k – 30 |
29 |
x^{2} – 7x + 12 5x |
w^{2} – 9w – 36 16w^{2} – 1 |
30 |
m^{2} + 13m + 40 6m |
4y – 3 25y^{2} – 4 |
31 |
k^{2} – 8k 17 |
2b + 1 3b^{2} – 12 |
32 |
9b^{2} + 3 41 |
2x – 6 10x^{2} + 5x |
33 |
15x^{2} + 45 50x |
42 m^{2} – 3m |
34 |
g^{2} + 46g g |
3k + 1 k^{2} + k – 42 |
35 |
4a – 5 14 |
4m^{3} +16m 3m^{2} – m |
36 |
x^{2} – 25 23 |
b^{2} – 18b + 81 3b^{2} – 12 |
37 |
9m^{2} – 4 23 |
5x + 15 x^{2} – 49 |
38 |
d^{2} + 9 33 |
m^{2} + 4m – 5 5m^{2} + m |
39 |
13n^{2} – 13n 6n |
2w + 1 9w^{2} – 1 |
40 |
4x^{3} – 16 x |
14 2b^{2} – 8 |
41 |
x^{2} + 2x – 10 3x |
2x – 8 x^{2} – 7x + 10 |
42 |
x^{2} + x – 72 24 |
5b – 3 b^{2} – 4 |
43 |
w^{2} + 11w + 30 7w |
2n – 1 4n^{2} – 9 |
44 |
g^{2} – 6g – 55 g |
k^{3} + k k^{2} – k – 42 |
45 |
16t^{2} – 1 64 |
x^{2} + 2x – 10 3x – 15 |
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.