Tools/🧮 Calculators/Polynomial Tools

Polynomial Tools

Evaluate, add, subtract, multiply, differentiate, solve, and factor polynomials.

Version 1.0 · Last Updated: August 11, 2026 · Maintained by ToolLarder

Operation

Choose an operation, enter coefficients, and calculate.

Online polynomial calculator and polynomial operations

Enter coefficients from the highest degree to the constant term to evaluate polynomials, perform arithmetic, differentiate, solve roots, and display factors for real-root polynomials.

Evaluate a polynomial

Substitute the selected x value using Horner's method.

P(x)=aₙxⁿ+…+a₀

Polynomial arithmetic

Align like degrees for addition and subtraction; distribute every term for multiplication.

(P·Q)(x)=P(x)Q(x)

Polynomial derivative

Multiply each coefficient by its exponent and reduce the exponent by one.

d(axⁿ)/dx=naxⁿ⁻¹

Find polynomial roots

Numerically find real and complex roots through degree ten.

P(x)=0

Factor a polynomial

When all roots are real, display the leading coefficient and linear factors.

P(x)=a(x−r₁)…(x−rₙ)

Polynomial Frequently Asked Questions