# Polynomial Long Division Calculator

The Polynomial long division calculator with steps is used for the division of one polynomial equation by another. Dividing polynomials is difficult but this calculator makes it easy.

## Polynomial Long Division

### Synthetic Division Calculation for 4th Degree Polynomials

The dividend can be a polynomial of up to 4 degrees and the divisor can be of the order of 2.

## How to use a polynomial long division calculator?

Follow the instructions below.

- Enter the coefficients of the variables of the dividend.
- Enter the coefficients of the divisor.
- Click calculate.

If the polynomial equation you have is of order 3 or less than it then simply input zero (0) as the coefficient of the variable x^{4}. Also, enter the negative sign carefully.

## What are polynomial equations?

The polynomials are expressions that consist of both variables and digits. E.g 3x^{3} - 2x^{2} + 1. These expressions are particularly difficult to solve.

## How to divide polynomials?

The process of dividing polynomials is long and complex. This is why it is called polynomial long division. Use the polynomial long division calculator above to divide polynomials.

Below you can see a solved example of polynomial long division.

**Example:**

Divide **4x - 3x ^{2} + 2 - 3x by 3x**.

**Solution: **

**Step 1:** Identify the dividend and divisor.

**Dividend** = - 4x^{2} + 3x^{3} + 2 - 3x

**Divisor** = 3x

**Step 2:** Arrange the polynomial equation of dividend.

= - 4x^{2} + 3x^{3} + 2 - 3x

= 3x^{3} - 4x^{2} - 3x + 2

**Step 3:** Place the values in the long division symbol and solve.

Multiply 3x by x^{2} and to get 3x^{3}. Now, take it as a coefficient.

Next, multiply 3x by -4x/3. It will be -12x^{2}/3 and eventually -4x^{2}.

Now, multiply the divisor again by -1.

Hence the quotient is x^{2}-4x/3-1 with a remainder of 2. It will be written in the form of mixed numbers as:

And this is the final answer.

### References:

- Polynomial equation - properties, techniques, and examples | storyofmathematics.com
- Dividing polynomials | math-from-scratch.com