Adding and Subtracting Polynomials Calculator

Adding and Subtracting Polynomials Calculator - Multi-Tools

Adding and Subtracting Polynomials Calculator

Result

How to Use

  1. Enter the first polynomial (e.g., "2x² + 3x - 1")
  2. Select the operation (addition or subtraction)
  3. Enter the second polynomial
  4. Click the "Calculate" button
  5. The result will be displayed below

Rules for Polynomial Operations

For Addition:

  • Combine like terms
  • Add coefficients of same degree terms
  • Keep the highest degree terms

For Subtraction:

  • Change signs of second polynomial
  • Combine like terms
  • Subtract coefficients of same degree terms

Common Examples

First Polynomial Operation Second Polynomial Result
2x² + 3x - 1 + x² - 2x + 4 3x² + x + 3
3x³ - 2x + 1 - x³ + x - 2 2x³ - 3x + 3
4x² + 2x + -2x² + 3 2x² + 2x + 3
x² - 1 - 2x² + 3x -x² - 3x - 1

Tips

  • Use proper notation (x² for x squared)
  • Include all terms, even if coefficient is 1
  • Write terms in descending order of degree
  • Be careful with signs during subtraction
  • Combine like terms properly
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