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3rd Degree Polynomial Calculator

Calculates a 3rd degree polynomial.

This is provided as a general formula that can be used by changing the constants.

screenshot

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:

Polynomial - Wikipedia