Algebra and number tools

Polynomial evaluation calculator

Evaluates a polynomial with Horner’s method. Include zero coefficients for missing powers.

Your numbers

Use the units shown. Results update as you change valid inputs.

YOUR RESULT

Evaluates a polynomial with Horner’s method. Include zero coefficients for missing powers.

THE NUMBERS, EXPLAINED

How to use this calculator.

Evaluates a polynomial with Horner’s method. Include zero coefficients for missing powers.

Start with your inputs

Enter coefficients, highest degree first, x. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.

InputExample value
Coefficients, highest degree first2,3,4
x2

A worked example

With the example inputs above, value is 18. Change the inputs to explore your own scenario.

All results for the example inputs above
ResultExample answer
Value18

How this is calculated

Value

polynomial(a,b)

Symbols and units
a
Coefficients, highest degree first
b
x

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

polynomial(coefficients, x) uses highest-degree-first coefficients. Start at zero and, for each coefficient, multiply the running value by x and add that coefficient (Horner’s rule).

Assumptions and limits

Evaluates a polynomial with Horner’s method. Include zero coefficients for missing powers.

Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.

Questions about this tool

What does the result tell me?

Value. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.

Why might another calculator differ?

Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Evaluates a polynomial with Horner’s method. Include zero coefficients for missing powers.

Are my inputs stored or sent to AI?

Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.

Further reading

OpenStax: College Algebra ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

Review status

Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.

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