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UNIT 4 : POLYNOMIAL FUNCTIONS
LESSON 6:
POLYNOMIAL INEQUALITIES HOMEWORK QUESTIONS
Solutions:
|
Interval |
|
|
|
|
|
Test
Number |
- 9 |
- 4 |
2 |
5 |
|
Sign
of x |
( - ) |
( - ) |
( + ) |
( + ) |
|
Sign
of (x + 8) |
( - ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (x – 4) |
( - ) |
( - ) |
( - ) |
( + ) |
|
Sign of x(x + 8)(x –4) |
( - ) |
( + ) |
( - ) |
(
+ ) |
|
Interval |
|
|
|
|
Test Number |
- 1 |
0 |
5 |
|
Sign
of (x – 4) |
( - ) |
( - ) |
( + ) |
|
Sign
of (2x + 1) |
( - ) |
( + ) |
( + ) |
|
Sign
of (x – 4)(2x + 1) |
( + ) |
( - ) |
( + ) |
|
Interval |
|
|
|
|
|
Test
Number |
- 4 |
- 2 |
1 |
3 |
|
Sign
of x2 |
( + ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (x – 2) |
( - ) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 3) |
( - ) |
( + ) |
( + ) |
( + ) |
|
Sign of x2(x – 2)(x
+ 3) |
( + ) |
( - ) |
( - ) |
(
+ ) |
|
Interval |
|
|
|
|
|
Test
Number |
- 4 |
- 2 |
0 |
2 |
|
Sign
of (x + 3) |
( - ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (x + 1) |
( - ) |
( - ) |
( + ) |
( + ) |
|
Sign
of (x – 1) |
( - ) |
( - ) |
( - ) |
( + ) |
|
Sign of (x + 3)(x + 1)(x –1) |
( - ) |
( + ) |
( - ) |
(
+ ) |
|
Interval |
|
|
|
|
Test Number |
- 4 |
0 |
3 |
|
Sign
of (x – 2) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 3) |
( - ) |
( + ) |
( + ) |
|
Sign
of (x – 2)/(x + 3 ) |
( + ) |
( - ) |
( + ) |
|
Interval |
|
|
|
|
|
|
|
Test
Number |
- 5 |
- 3.7 |
- 1 |
0.1 |
0.5 |
2 |
|
Sign
of x |
( - ) |
( - ) |
( - ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (2x + 7) |
( - ) |
( - ) |
( + ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (x – 1) |
( - ) |
( - ) |
( - ) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 4) |
( - ) |
( + ) |
( + ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (3x – 1) |
( - ) |
( - ) |
( - ) |
( - ) |
( + ) |
( + ) |
|
x(2x + 7)(x – 1)/(x + 4)(3x – 1) |
( - ) |
( + ) |
( - ) |
(
+ ) |
( - ) |
( + ) |
|
Interval |
|
|
|
|
Test Number |
- 4 |
0 |
4 |
|
Sign
of 2(4x2+3x+9) |
( + ) |
( + ) |
( + ) |
|
Sign
of 3(x – 3) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 3) |
( - ) |
( + ) |
( + ) |
|
|
( + ) |
( - ) |
( + ) |
