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Polynomial Long Division Calculator
Divide one polynomial by another and follow the quotient term, subtraction and remainder at each step. Integer input coefficients are kept exact, including fractional results.
How do you divide polynomials with long division?
Write both polynomials in descending powers, divide the leading terms, multiply the divisor by that term, subtract, and repeat until the remainder has a lower degree than the divisor. For example, (x² − 1) ÷ (x − 1) gives quotient x + 1 and remainder 0.
Frequently asked questions
How do you divide polynomials with long division?
Write both polynomials in descending powers, divide the leading terms, multiply the divisor by that term, subtract, and repeat until the remainder has a lower degree than the divisor. For example, (x² − 1) ÷ (x − 1) gives quotient x + 1 and remainder 0.
Are my polynomial expressions uploaded?
No. The calculation runs locally in this browser. Your expressions are not uploaded or saved.
What is the remainder in polynomial long division?
The remainder is the polynomial left after repeated division and subtraction. Its degree must be lower than the divisor’s degree; it may be zero when the divisor divides evenly.
Can polynomial division produce fractions?
Yes. Integer input coefficients can produce exact fractional quotient or remainder coefficients. This calculator displays them as reduced fractions, such as 1/2.
Does this divide ordinary numbers or factor a polynomial?
No. It divides one polynomial in x by another. Use an integer long-division calculator for whole numbers and a factorization tool to find polynomial factors.