3rd Degree Polynomial Calculator
Calculates a 3rd degree polynomial.
This is provided as a general formula that can be used by changing the constants.
Example 1
For the polynomial Fx = -2 -1.5*x + 0.75*x^2 + 0.25*x^3
find f(3) and the roots.
| Value | Key | Display | Description |
|---|---|---|---|
| -2 | C0 | -2.0000 | Stores the C0 value. |
| -1.5 | C1 | -1.5000 | Stores the C1 value. |
| .75 | C2 | 0.7500 | Stores the C2 value. |
| .25 | C3 | 0.2500 | Stores the C3 value. |
| 3 | X | 3.0000 | Stores the X value. |
| f(x) | 7.0000 | Calculates Fx(3). |
Example 2
Find the root nearest to x = 3.
These keystrokes assume the values from example 1.
| Value | Key | Display | Description |
|---|---|---|---|
| 0 | f(x) | 0.0000 | Stores the Fx value. |
| X | 2.0000 | Calculates a root. |
Example 3
Find the root nearest to x = -3.
These keystrokes assume the values from examples 1 and 2.
| Value | Key | Display | Description |
|---|---|---|---|
| -3 | X | -3.0000 | Stores a new initial guess. |
| X | -4.0000 | Calculates a root. |
Example 4
Find the root nearest to x = 0.
These keystrokes assume the values from examples 1 and 2.
| Value | Key | Display | Description |
|---|---|---|---|
| 0 | X | 0.0000 | Stores a new initial guess. |
| X | -1.0000 | Calculates a root. |
Plotting
Create a graph of for x = -5 to 3
| Value | Key | Display | Description |
|---|---|---|---|
| -5 | = or ENTER | -5.0000 | Enters first value of the range. |
| 3 | shift f(x) | plot | Enters the second value of the range, selects the independent variable for the plot. |
This will produce the following plot:
Please see the Plot Display page for information.
Please note that the independent variable range can be entered in any order, minimum-maximum or maximum-minimum.
If you scroll down, a table of the parameter values is displayed.
Reference: