Polynomial Arithmetic Calculator

Add or subtract polynomials by combining like terms in standard form.

Last updated: March 2026 | By ForgeCalc Engineering

Polynomial Arithmetic Solver

Like-term arithmetic

Polynomial 1

Polynomial 2

Calculation Steps

1.Polynomial 1: 2x^2 + 3x + 1

2.Polynomial 2: x^2 - 2x + 5

3.Combine like terms by addition.

4.Result: 3x^2 + x + 6

Resulting Polynomial

3x^2 + x + 6

Polynomial arithmetic combines like terms to produce a simplified result. It is the foundation for many algebraic manipulations.

result = combine like terms

Example: (3x^2 + 2x + 5) + (x^2 - 4x + 1) = 4x^2 - 2x + 6.

3x^2 + 2x + 5 + x^2 - 4x + 1 = 4x^2 - 2x + 6

What are like terms?

Like terms have the same variable part raised to the same power.

Can coefficients be decimals?

Yes. Real-number coefficients are supported.

What if a term is missing?

A missing term can be treated as having coefficient zero.

Does the order matter?

The standard display order is highest exponent to lowest exponent.

Related Tools

Solve absolute value equations.

Solve absolute value inequalities.

Apply associative property.

Multiply using box method.

Complete the square method.

Find complex roots.