Polynomial Long Division Calculator
Easily calculate the quotient and remainder when dividing polynomials. Enter the coefficients and let us do the math!
Enter Polynomial Coefficients
Coefficients from highest to lowest degree, comma-separated.
Coefficients from highest to lowest degree, comma-separated.
Quotient:
Remainder:
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.