Polynomial Division Calculator

Polynomial Division Calculator helps to divide two polynomials and display the result. Division of polynomials involves dividing one polynomial of a higher degree by a lower degree polynomial.

What is Polynomial Division Calculator?

Polynomial Division Calculator is an online tool that helps to divide two given polynomials. The degree of the dividend is usually greater than the degree of the divisor. To use the polynomial division calculator, enter the two polynomials in the given input boxes.

Polynomial Division Calculator

How to Use Polynomial Division Calculator?

Please follow the steps below to divide two polynomials by using the polynomial division calculator:

• Step 1: Go to Cuemath's online polynomial division calculator.
• Step 2: Enter the two polynomials in the given input boxes.
• Step 3: Click on the "Divide" button to divide the two polynomials.
• Step 4: Click on the "Reset" button to clear the fields and enter new polynomials.

How Does Polynomial Division Calculator Work?

A polynomial is defined as an algebraic expression that consists of variables, constants, coefficients, non-negative exponentiated variables, and includes addition, subtraction, as well as multiplication. There are different methods available to divide polynomials. These are the long division, synthetic division, splitting the terms, and factorization methods. The most commonly used method in dividing polynomials is the long division technique. When there are no common factors between the numerator and the denominator, the long division method can be used to simplify the expression.

Long Division Method

• Step 1: Arrange all the terms in the descending order of their degrees.
• Step 2: The first term of the dividend is divided by the divisor. The result obtained is written as the first term of the quotient.
• Step 3: Now this result is multiplied by the divisor. The product obtained is written below the dividend.
• Step 4: Subtract the product from the dividend to get a new polynomial.
• Step 5: Repeat steps 2 to 4 with the new polynomials generated till there are no more terms left and the remainder is 0. This implies that polynomial 1 is completely divisible by polynomial 2.

Solved examples on Polynomial Division Calculator

Example 1:

Divide 4x² - 5x - 21 by x - 3 and verify it using the polynomial division calculator.

Solution:

The Quotient is 4x + 7 and the remainder is 0.

Example 2:

Divide (x⁴ + 2 x² + 17 x - 48) by (x + 3) and verify it using the polynomial division calculator.

Solution:

The Quotient is x³ - 3 x² + 11 x - 16 and the remainder is 0.​​​​​

Similarly, you can use the polynomial division calculator to divide the given polynomials

• 9x⁴ + 7x and 2x
• 3x³ - 2x - 1  and x - 1

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