Polynomial Long Division Calculator with Steps
Visual algebra tool that renders the vertical long division tableau for polynomials. Helps students check homework by highlighting subtraction steps.
About
Unlike simple calculators that provide a one-line answer, this tool generates the full vertical tableau used in classrooms. Visualizing the subtraction of polynomial terms is critical for identifying sign errors. The calculator formats variables and exponents using proper mathematical typography. It aligns terms vertically by degree (e.g., x2 under x2). This structural clarity aids in mastering the algorithm required for integration by partial fractions and asymptotic analysis.
algebra
polynomials
step-by-step
long division
math solver
Formulas
The process iterates until the degree of the remainder is less than the degree of the divisor.
deg(R) < deg(D)
Reference Data
| Step | Operation | Result |
|---|---|---|
| 1. Divide | Lead term of dividend / Lead term of divisor. | x2 |
| 2. Multiply | Resulting term × Entire Divisor. | x3 + x2 |
| 3. Subtract | Current Dividend − Product. | Remainder |
| 4. Drop | Bring down next term. | Next Term |
Frequently Asked Questions
When subtracting a polynomial (e.g., -(x^2 + 2x)), the negative sign applies to every term inside the parentheses, flipping all signs.
This tool focuses on Long Division, which is more general and works for divisors of any degree, unlike synthetic division.