2nd Degree Polynomial Calculator
Calculates a 2nd degree polynomial.
This is provided as a general formula that can be used by changing the constants.
Formula: c0 + c1*x0 + c2*x0^2
Example 1
For the polynomial Fx = -2 -x + x^2
find Fx(3) and the roots.
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| -2 | C0 | -2.0000 | Stores the C0 value. |
| -1 | C1 | -1.0000 | Stores the C1 value. |
| 1 | CTO C2 | 1.0000 | Stores the C2 value. |
| 3 | X | 3.0000 | Stores the X value. |
| f(x) | 4.0000 | Calculates Fx(3). |
Example 2
Find the root nearest to x = 3.
These keystrokes assume the values from example 1.
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| 0 | Fx | 0.0000 | Stores the Fx value. |
| X | 2.0000 | Calculates a root. |
Example 3
Find the root nearest to x = -2.
These keystrokes assume the values from examples 1 and 2.
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| -2 | X | -2.0000 | Stores a new initial guess. |
| X | -1.0000 | Calculates a root. |
A more direct method of finding real roots of a quadratic is using the "quad" key found on the Math and Trig calculator.
Reference: