Dividing Polynomials Calculator
Perform polynomial long division or synthetic division step by step. Enter the dividend and divisor polynomials to get the quotient and remainder.
Published by:
isCalculator Editorial Team
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How to Use the Dividing Polynomials Calculator
This calculator performs polynomial division using either Long Division or Synthetic Division. Follow these steps:
- Enter the Dividend – In the Dividend P(x) field, type the polynomial you want to divide (e.g.,
2x^3 - x^2 + 3x - 5). - Enter the Divisor – In the Divisor D(x) field, type the polynomial you are dividing by (e.g.,
x - 1). - Choose a Method – Select either Long Division (works for any divisor) or Synthetic Division (only works for linear divisors like
ax + b). - Calculate – Click the Calculate button. The quotient and remainder will appear, along with step-by-step work.
Input Format: Use standard polynomial notation. Write terms in descending order of exponents. Use ^ for powers (e.g., x^2). Omit the coefficient if it is 1 (e.g., write x not 1x).
Output: The result shows the Quotient and Remainder. The steps explain each operation, making it ideal for learning or verification.
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Frequently Asked Questions
Polynomial division is a method to divide one polynomial by another, yielding a quotient and a remainder. It is similar to long division with numbers.
Synthetic division is a simplified method for dividing a polynomial by a linear binomial of the form x - c. It uses only the coefficients and is faster than long division.
Enter polynomials in standard form using 'x' as variable, '^' for exponent, and '+' or '-' signs. For example: 2x^3 - x^2 + 3x - 5.
