Polynomial Calculator
Enter a polynomial's coefficients and a value for x below to instantly evaluate it.
Result
7
Evaluating a Polynomial
Substitute the given value in for x and simplify each term, then add everything together.
Worked example
Evaluate 2x³ − 3x² + 4x − 5 at x = 2.
2(8) − 3(4) + 4(2) − 5 = 16 − 12 + 8 − 5
Result: 7
Frequently Asked Questions
What is a polynomial?
A polynomial is an expression built from variables raised to whole-number powers, multiplied by coefficients, and added together — like 2x³ − 3x² + 4x − 5.
How do you evaluate a polynomial at a value?
Substitute the value in for x everywhere it appears and simplify. This calculator uses Horner's method, which evaluates a polynomial with fewer multiplications than plugging in term by term.
What order should the coefficients be entered in?
Highest degree first. For 2x³ − 3x² + 4x − 5, enter 2, −3, 4, −5.
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