Polynomial Long Division Calculator
Divide one polynomial by another using the long division method. Enter the dividend and divisor polynomials in standard form (e.g., x^3 + 2x^2 - 5x + 1) and get the quotient and remainder with step-by-step work.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator performs polynomial long division. Follow these steps:
- Enter the Dividend (P(x)) in the first field, e.g.,
x^3 - 2x^2 - 5x + 6. - Enter the Divisor (D(x)) in the second field, e.g.,
x - 1. - Use
^for exponents (e.g.,x^2). Write terms in standard form (descending powers). - Click Calculate.
- Quotient and Remainder of the division.
- A Step-by-Step breakdown showing each division step, subtraction, and new remainder.
Output:
Note: The calculator automatically trims leading zeros and handles missing terms. Ensure polynomials are valid (e.g., 2x^3 - x + 1).
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Frequently Asked Questions
Polynomial long division is a method for dividing a polynomial by another polynomial of equal or lower degree, similar to arithmetic long division. It yields a quotient and a remainder.
Enter polynomials in standard form using 'x' as variable and '^' for exponents. For example: 2x^3 - x^2 + 5x - 3. Coefficients can be integers or decimals.
If the remainder is zero, the divisor is a factor of the dividend. The calculator will show remainder as 0.
