SOLUTION: use long division to divide. x^6-1 / x-1

Algebra.Com
Question 383505: use long division to divide.
x^6-1 / x-1
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

       x^5 + x^4 + x^3 + x^2 + x + 1
      ____________________________________________
x -1 | x^6 + 0x^5 + 0x^4 + 0x^3 + 0x^2 + 0x - 1
    - (x^6 -  x^5)
    ---------------------
              x^5 + 0x^4
          -  (x^5 -  x^4)
          ----------------------
                     x^4 + 0x^3
                 -  (x^4 -  x^3)
                 ----------------------              
                            x^3 + 0x^2
                        -  (x^3 -  x^2)
                        --------------------             
                                   x^2 + 0x
                               -  (x^2 -  x)
                               ----------------- 
                                          x - 1
                                      -  (x - 1)
                                      ----------
                                              0


RELATED QUESTIONS

use synthetic division to divide x^4+4x^3+6x^2+4x+1 by... (answered by CharlesG2)
use synthetic division to divide x^4+4x^3+6x^2+4x+1 by... (answered by stanbon)
use synthetic division to divide the following polynomial... (answered by solver91311)
Use synthetic division to divide 5x^3-x^2-3x+1 by... (answered by Theo)
This is is from a quiz on factoring the polynominal completely, given that (x-1) is a... (answered by Alan3354)
Divide A. Use long division to divide x³+6x²-x-30 by x²+8x+15 B. Use synthetic... (answered by Nate,junior403)
1.Divide using polynomials long division. (3x^2-29x+56)/(x-7) 2.Use the polynomial... (answered by Boreal)
Use either long or synthetic division to divide 4x^3-7x+6 by x+2. Indicate the quotient... (answered by RAY100)
Use polynomial long division to divide 3x^3 + 8x^2 – 13x – 4 by x^2 + 4x + 1 please... (answered by Fombitz)