Polynomial Division Calculator

Perform polynomial division (long division) step by step. Enter the dividend and divisor polynomials to get the quotient and remainder.

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How to use this tool?

How to Use the Polynomial Division Calculator

This calculator performs polynomial long division. Follow these steps:

  1. Enter the Dividend (the polynomial being divided) in the first field. Use standard notation, e.g., x^3 - 2x^2 + 0x + 4.
  2. Enter the Divisor (the polynomial you're dividing by) in the second field, e.g., x - 2.
  3. Click "Calculate Division".

Output:

  • Quotient – the result of the division.
  • Remainder – what's left over.
  • Steps – a detailed breakdown of each division step.

Input Format Tips:

  • Use ^ for exponents (e.g., x^2).
  • Include all terms, even those with zero coefficients (e.g., 0x) for accuracy.
  • Use + or - between terms. No spaces required.
  • Example: 2x^3 - 4x^2 + 0x + 1

Note: The divisor cannot be zero. Ensure polynomials are entered correctly to avoid errors.

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Frequently Asked Questions

You can enter polynomials like 'x^3 - 2x^2 + 0x + 4' or '3x^2 + 2x + 1'. Use 'x' for variable, '^' for exponent. Omit coefficient 1 (e.g., 'x' is fine).

Division by zero is undefined. The calculator will show an error message if the divisor polynomial is zero.

Yes, negative coefficients are supported. For example, '-x^2 + 3x - 5' is valid.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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