Polynomial Multiplication Calculator
Enter each polynomial as coefficients from the highest power down.
This result is an estimate only. Double-check important figures before relying on them.
How it is calculated
- Each pair aᵢ·bⱼ adds to the coefficient of the product’s power i + j
To divide instead, use the polynomial division calculator.
Worked example
(x + 2)(x² − 3x + 2):
- x³ − x² − 4x + 4
- Degree 3
Why your number may differ
This expands brackets only. It does not factor the result back.
Frequently asked questions
How do I multiply polynomials?
Multiply every term of the first by every term of the second, then add the terms with the same power.
What is the degree of the product?
The degrees add: a degree 1 polynomial times a degree 2 polynomial gives degree 3.
How do I enter a missing power?
Use zero. For x² − 1, enter 1, 0, −1.