Polynomial Division Calculator

Easily calculate the quotient and remainder of polynomial division with step-by-step solutions.

Enter Polynomials

Input your dividend and divisor polynomials in the fields below. Use the format like: 2x^2+3x-1

Dividend Polynomial

Divisor Polynomial

Results

Quotient:

Remainder:

Step-by-step Solution:

Understanding Polynomial Division

Polynomial division is a process in algebra to divide a polynomial by another polynomial of the same or lower degree. It's similar to long division with numbers. The goal is to find the quotient and remainder such that: Dividend = Divisor × Quotient + Remainder. This tool helps you perform polynomial division quickly and understand each step involved. It's useful in simplifying expressions, solving equations, and various areas of mathematics and engineering. For example, dividing \(x^2 + 3x + 2\) by \(x + 1\) gives a quotient of \(x + 2\) and a remainder of \(0\).