📐 Polynomial Division Calculator
Divide polynomials using long division
How to Use This Calculator
Enter Dividend
Type the polynomial being divided, e.g., x³ + 4x² + x + 6
Enter Divisor
Type the polynomial dividing by, e.g., x + 3
Divide
See the division expression and follow long division steps
Long Division Method
Example: (x³ + 4x² + x + 6) ÷ (x + 3)
x² + x - 2
x + 3 ) x³ + 4x² + x + 6
x³ + 3x²
---------
x² + x
x² + 3x
---------
-2x + 6
-2x - 6
---------
0
Result: x² + x - 2
About Polynomial Division Calculator
The Polynomial Division Calculator divides polynomials using long division, similar to numerical long division. For divisors of the form (x - c), synthetic division is faster. This calculator helps you perform polynomial division step by step.
When to Use This Calculator
- Division: Divide polynomials of any degree
- Factoring: Check if polynomials are factors
- Homework: Solve polynomial division problems
Tips
- Ensure polynomials are in standard form
- Include zero coefficients for missing terms
- For (x - c) divisors, use synthetic division instead
Frequently Asked Questions
What is polynomial long division?
A method to divide polynomials by repeatedly dividing, multiplying, and subtracting, similar to numerical long division.
When should I use synthetic division?
Use synthetic division when dividing by (x - c). It's much faster and easier for this special case.