SOLUTION: Find the quotient of each of the following using the SYNTHETIC DIVISION (x5 −1) ÷ (x−1)

Algebra ->  Testmodule -> SOLUTION: Find the quotient of each of the following using the SYNTHETIC DIVISION (x5 −1) ÷ (x−1)      Log On


   



Question 1164193: Find the quotient of each of the following using the SYNTHETIC DIVISION
(x5 −1) ÷ (x−1)

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the quotient of each of the following using the SYNTHETIC DIVISION
(x5 −1) ÷ (x−1)
-----------------
Why is SYNTHETIC DIVISION in ALL CAPS?

Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

Good student knows the answer without SYNTHETIC DIVISION.


    The answer is    x%5E4+%2B+x%5E3+%2B+x%5E2+%2B+x+%2B+1,  


    which is the sum of the 5 first terms of the geometric progression with the first term of 1 and the common ratio of x.

Solved.

-----------------

See the lessons

    - Factoring the binomials   x%5En-a%5En
    - Factoring the binomials   x%5En%2Ba%5En for odd degrees
in this site.