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# 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:

Polynomial - Wikipedia