📈 Polynomial Long Division Calculator
Example: (x³ – 3x + 2) ÷ (x – 1) → Enter **dividend = x^3 – 3x + 2**, divisor = **x – 1**
Result will appear here…
📌 What is Polynomial Long Division?
Polynomial long division is a method for dividing a polynomial by another polynomial of lower or equal degree. It is similar to long division in arithmetic.
📌 Applications of Polynomial Long Division
- Algebra: Used to simplify complex polynomial expressions.
- Calculus: Helps in integration and finding limits.
- Engineering: Applied in signal processing and control systems.
- Computer Science: Used in algorithms for error detection and correction.
📌 Example Calculations
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| x³ – 3x + 2 | x – 1 | x² + x – 2 | 0 |
| 2x³ + 5x² – x – 3 | x + 2 | 2x² + x – 3 | 0 |
❓ FAQs
Q1: What is polynomial long division used for?
✅ It helps in breaking down polynomials into simpler factors.
Q2: Can I use synthetic division instead?
✅ Yes, but only when dividing by a linear divisor (e.g., x – c).
Q3: What if my remainder is not zero?
✅ The quotient is not an exact division; the remainder must be included.
Q4: Can polynomial division be used in calculus?
✅ Yes! It’s useful in integration and limits.
Q5: What happens if the divisor has a higher degree than the dividend?
✅ The quotient will be 0, and the remainder will be the dividend itself.