Algebra & Equations
Polynomial Evaluation
Evaluate a polynomial (coeffs high→low) using Horner's method.
Formula
Formula
p(x) = Σ ck xk
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| cₖ | coefficients (highest degree first) | list of real numbers | — | input |
| x | evaluation point | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givencoefficients = 1, -3, 2, x = 5
Result12
Example 2
Givencoefficients = 2, 0, -1, 3, x = 2
Result17