Algebraic Long Division Calculator

Perform Your Polynomial Division

Enter polynomial terms in descending order of power, e.g., 3x^2 + 2x - 1. Use ^ for powers (e.g., x^2).
Enter polynomial terms, e.g., x + 1. Use ^ for powers.

Efficiently perform algebraic long division with our free online calculator. Input your dividend and divisor polynomials to instantly find the quotient and remainder. Perfect for students and professionals simplifying complex algebraic expressions.

Formula:

Algebraic long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree. It follows the general form:

P(x) / D(x) = Q(x) + R(x) / D(x)

  • P(x): The Dividend polynomial (the polynomial being divided)
  • D(x): The Divisor polynomial (the polynomial dividing P(x))
  • Q(x): The Quotient polynomial (the result of the division)
  • R(x): The Remainder polynomial (what's left over after division)

Where the degree of R(x) is less than the degree of D(x).

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