# Polynomial Division of Two Expressions (x^4+2x+8)/(x+6) using Polynomial Long Division Method

Take the help of Polynomial Long Division Calculator and determine the long polynomial division for the input expressions ie., (x^4+2x+8)/(x+6) and get the result as Quotient x^3 - 6 x^2 + 36 x - 214 Remainder 1292 within a fraction of seconds along with an elaborate explanation.

Ex: (x^2+2x+8)/(x+8) (or) (x^3+5x+7)/(x+6) (or) (x^4+2x+8)/(x+6)

Calculate Division of two Polynomials:

## Step by Step Solution for Polynomial Division of (x^4+2x+8)/(x+6)

The given expression is (x^4+2x+8)/(x+6)

The Divident is x^4 + 2 x + 8 and Divisor is x + 6

x + 6)x^4 + 2 x + 8(x^3 - 6 x^2 + 36 x - 214
- x^4 - 6 x^3

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- 6 x^3 + 2 x + 8

6 x^3 + 36 x^2

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36 x^2 + 2 x + 8

- 36 x^2 - 216 x

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8 - 214 x

214 x + 1284

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1292

After the division the quotient is x^3 - 6 x^2 + 36 x - 214 and reminder is 1292

### Frequently Asked Questions on Polynomials Division of (x^4+2x+8)/(x+6)

1. What is the quotient & remainder for polynomial division (x^4+2x+8)/(x+6)?

For the given polynomial division expressions (x^4+2x+8)/(x+6) the quotient is x^3 - 6 x^2 + 36 x - 214 and the remainder is 1292.

2. How do you perform the division of two polynomials (x^4+2x+8)/(x+6)?

By using a polynomial long division calculator, you can easily perform division of two polynomials ie., (x^4+2x+8)/(x+6) and get the output ie., the quotient x^3 - 6 x^2 + 36 x - 214 and the remainder 1292 in a short time.

3. Where can I get detailed solution steps for polynomial division (x^4+2x+8)/(x+6)?

You can easily find the detailed solution steps for polynomial division (x^4+2x+8)/(x+6) from our page. Else, visit our factorpolynomials.com website and check out the other polynomial concepts calculators for easy calculations.