Polynomial Calculator
Evaluate a polynomial at a specific value of x, for any degree.
- Free to use
- Accurate results
- No registration required
- Works on all devices
Enter a polynomial's coefficients and a value of x to evaluate it.
e.g. "1, -3, 2" means x² − 3x + 2.
Your result
12
Result
Degree2
AI explanation
Formula
Evaluates the polynomial at x using Horner's method for numerical stabilityWorked example
x² − 3x + 2 at x=5
| Field | Value |
|---|---|
| Coefficients (highest degree first) | 1, -3, 2 |
| Value of x | 5 |
| Result | 12 |
| Degree | 2 |
Assumptions
- Coefficients are entered from the highest degree term to the constant term — e.g. "1, -3, 2" represents x² − 3x + 2, and "1, 0, -4, 1" represents x³ − 4x + 1.
Frequently asked questions
How do I enter a polynomial with a missing term?
Include a 0 for that term — for x³ + 1 (no x² or x term), enter "1, 0, 0, 1".
What is Horner's method?
An efficient way to evaluate a polynomial that reduces the number of multiplications needed and improves numerical accuracy, compared to computing each power separately.
Can I solve for x instead of evaluating at a given x?
Use the Equation Solver for that — it finds the roots of a linear or quadratic equation rather than evaluating the polynomial at a specific point.