Question 158716: can someone please help me with this problem:
What is the result of x^4 + 4x^3 + 6x^2 + 4x + 1 divided by x + 1? Found 2 solutions by checkley77, neha_chinu2k:Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! x^4 + 4x^3 + 6x^2 + 4x + 1 divided by x + 1?
`````````x^3+3x^2+3x+1 answer.
````_________________
x+1)x^4+4x^3+6x^2+4x+1
````x^4+x^3
````--------
````````3x^3+6x^2
````````3x^3+3x^2
````````----------
`````````````3x^2+4x
`````````````3x^2+3x
`````````````---------
```````````````````x+1
```````````````````x+1
```````````````````---
You can put this solution on YOUR website! the above expression can be written as :
x^4+x^3+3x^3+3x^2+3x+x+1=
x^3(x+1)+3x(x+1)+(x+1)
(x+1)(x^3+3x^2+3x+1)
hence ans : (x^3+3x^2+3x+1)