SOLUTION: Find all x for which x^3-x^2-x+1 /x^3-x^2+x-1 = 0. Please can someone help me? I'm not even sure if this problem belongs in this section, let alone, how to do it. Thanks!!!

Question 180216: Find all x for which x^3-x^2-x+1 /x^3-x^2+x-1 = 0. Please can someone help me? I'm not even sure if this problem belongs in this section, let alone, how to do it. Thanks!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all x for which x^3-x^2-x+1 /x^3-x^2+x-1 = 0.
----
Multiply both sides by the denominator to get:
x^3-x^2-x+1 = 0
Factor to get:
(x^2)(x-1) - (x-1) = 0
Factor again:
(x-1)(x^2-1) = 0
Factor again:
(x-1)(x-1)(x+1) = 0
Solutions: x = 1, or x = -1
------------------
But x=1 is extraneous as it makes the original denominator = 0
---------
Only solution: x = -1
==========================
Cheers,
Stan H.
RELATED QUESTIONS
30) If f(x)=4x-3 find the following f(-1) I am not sure how to solve this problem can... (answered by stanbon)

Hello, can someone help me factor this problem? 1.m^3-27 I need help trying to... (answered by adamchapman)

SOMEONE PLEASE HELP ME WITH THIS PROBLEM: IF f(x)=x(x+3)(x-1), use interval notation to... (answered by Nate)

Could someone please please help me with this: f(x)= (x�-1)(x-1). 1.Show why... (answered by Edwin McCravy)

Can someone please help me sovle this problem...Thanks, find all numbers for which... (answered by stanbon)

1. Determine what values, if any, will make this rational expression undefined. Show your (answered by rothauserc)

Hi :) I�m new to logarithms and not sure if I�m on the right track with this one. Hoping (answered by nerdybill)

Find all x for which (x^3 - x^2 - x + 1)/ (x^3 - x^2 + x - 1) =... (answered by ewatrrr)

Hi tutors, Please show me the steps in solving this question. Not sure which way to... (answered by checkley79)