Polynomial Evaluator
Evaluate polynomials at any value of x.
Enter coefficients and compute the result instantly.
Polynomial Result
A polynomial is an expression of the form:
P(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀
How to enter coefficients: Enter the coefficients separated by commas, from the highest degree to the constant term.
Example: For 3x³ + 2x² - 5x + 7, enter: 3, 2, -5, 7
The calculator evaluates the polynomial at a given value of x using Horner’s method, which is efficient and numerically stable:
P(x) = (...((aₙx + aₙ₋₁)x + aₙ₋₂)x + ...) + a₀
Polynomial vocabulary:
- Degree: The highest power of x (e.g., 3x² + 1 has degree 2)
- Leading coefficient: The coefficient of the highest-degree term
- Constant term: The term without x (a₀)