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Polynomial Long Division Calculator

Perform polynomial long division easily with our interactive calculator. Enter dividend and divisor coefficients and get quotient and remainder in polynomial form.

Enter Polynomial Coefficients

Coefficients from highest to lowest degree, comma-separated.

Polynomial form:

Coefficients from highest to lowest degree, comma-separated.

Polynomial form:

Understanding Polynomial Long Division

Polynomial long division is a method for dividing a polynomial by another polynomial of a lower or equal degree. It's similar to long division with numbers. The process involves dividing the leading term of the dividend by the leading term of the divisor, multiplying the divisor by the result, and subtracting it from the dividend. This is repeated until the degree of the remainder is less than the degree of the divisor.

Example: To divide \(x^2 - 3x + 2\) by \(x - 1\), we perform long division to find the quotient and remainder. This calculator simplifies this process by allowing you to input the coefficients directly and instantly get the polynomial form of the quotient and remainder.

Use this tool to quickly verify your homework, explore polynomial division, or perform complex algebraic calculations with ease.