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# Polynomial Long Division Calculator

To find the polynomial long division, input the numerator and denominator of polynomial and click calculate button using polynomial long division calcualtor

## Polynomial Long Division Calculator

Polynomial long division calculator is used to divide the polynomial functions by taking the divisor and dividend. This divide polynomials calculator finds the quotient and remainder of the given functions.

## What is polynomial long division?

Polynomial long division is just like the long division of integers used to perform factoring or determining the tangent lines of the function. In this method of division, the higher degree polynomial is the dividend and the lower degree polynomial is the divisor.

## How to solve the problems of polynomial long division?

The problems of polynomial long division can be solved easily either by using a calculator or manually. Let’s take an example to understand this concept.

**Example**

Find the polynomial long division if the dividend of the polynomial is 2x4 + 6x3 + x2 + 12x + 20 and the divisor is x+1.

**Solution **

**Step 1:** Divide the leading term of the dividend of the polynomial by the leading term of the divisor to get the first term of the quotient.

2x^{4}/x = 2x^{3}

This means you have to multiply the divisor by 2x^{3} to get the first step.

2x^{3}(x+1) = 2x^{4}+2x^{3}

The remainder must be 4x^{3} + x^{2} + 12x + 20

**Step 2: **Now again divide the leading term of the remainder of the polynomial by the leading term of the divisor.

4x^{3}/x = 4x^{2}

Multiply the divisor by 4x^{2} to get the second step.

4x^{2}(x+1) = 4x^{3}+4x^{2}

The remainder must be -3x^{2} + 12x + 20

**Step 3:** Repeat the above steps again to get the third remainder of the division.

-3x^{2}/x = -3x

Multiply the divisor by -3x to get the third step.

-3x(x+1) = -3x^{2}-3x

The remainder must be 15x + 20

**Step 4: **Now divide the leading term of the above remainder by the first term of the divisor.

15x/x = 15

Multiply the divisor by 15 to get the third step.

15(x+1) = 15x + 15

The remainder must be 5.

This is the final step as there is no variable left in the remainder of the division.

Hence

**Quotient = 2x ^{3} + 4x^{2} – 3x + 15**

**Remainder = 5**

**Step 5:** Mathematically the polynomial long division is: