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Horner Polynomial Evaluation Calculator

Evaluate a₄x⁴ + a₃x³ + a₂x² + a₁x + a₀ using Horner's method.

Evaluate a degree-4 polynomial at a given x using Horner's method — far fewer multiplications than naïve evaluation. Returns the polynomial value at x along with intermediate Horner steps.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P(x) = ((((a₄·x + a₃)·x + a₂)·x + a₁)·x + a₀)

In depth

Evaluate a degree-4 polynomial at a given x using Horner's method — far fewer multiplications than naïve evaluation. Returns the polynomial value at x along with intermediate Horner steps.