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UNIT 4 : POLYNOMIAL
FUNCTIONS
POLYNOMIAL
FUNCTIONS TEST QUESTIONS
a) b)
14. Determine the equation(in factored form) of each of the following polynomial functions.
a) Cubic b) Quartic
15. Find the equation of the quadratic function
with zeros –2 and 1 such that f(-4) = 10.
a) b)
Solutions:
|
x |
y |
|
-3 |
-20 |
|
-2 |
-16 |
|
1 |
20 |
|
x |
y |
|
-4 |
-12 |
|
-3 |
-14 |
|
1 |
-2 |
|
2 |
-1.5 |
|
x |
y |
|
-2 |
32 |
|
1 |
-8 |
|
Interval |
|
|
|
|
|
|
|
Test
Number |
- 4 |
- 2 |
- 0.5 |
0.5 |
3 |
5 |
|
Sign
of x |
( - ) |
( - ) |
( - ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (x + 3) |
( - ) |
( + ) |
( + ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (x – 1) |
( - ) |
( - ) |
( - ) |
( - ) |
( + ) |
( + ) |
|
Sign
of (x – 4) |
( - ) |
( - ) |
( - ) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 1) |
( - ) |
( - ) |
( + ) |
( + ) |
( + ) |
( + ) |
|
x(x + 3)(x – 1)/(x – 4)(x + 1) |
( - ) |
( + ) |
( - ) |
(
+ ) |
( - ) |
( + ) |
|
Interval |
|
|
|
|
|
|
Test
Number |
- 3 |
- 1.5 |
0 |
4 |
6 |
|
Sign
of (x – 3) |
( - ) |
( - ) |
( - ) |
( + ) |
( + ) |
|
Sign
of (x + 1) |
( - ) |
( - ) |
( + ) |
( + ) |
( + ) |
|
Sign
of (x – 5) |
( - ) |
( - ) |
( - ) |
( - ) |
( + ) |
|
Sign
of (x + 2) |
( - ) |
( + ) |
( + ) |
( + ) |
( + ) |
|
(x – 3)(x + 1)/(x – 5)(x + 2) |
( + ) |
( - ) |
( + ) |
(
- ) |
( + ) |
a) b)
14. Determine the equation(in factored form) of each of the following polynomial functions.
a) Cubic b) Quartic
|
x |
y |
|
-2 |
-9 |
|
-1 |
-8 |
|
x |
y |
|
1 |
-16 |
