Help factoring x^2-x+1/x+1 -1/2

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Homework Help Overview

The problem involves factoring the expression (x^2 - x + 1)/(x + 1) - 1/2, which falls under algebraic manipulation and rational expressions.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss finding a common denominator and the implications of factoring the numerator. Questions about the greatest common divisor (GCD) are raised, and there is an exploration of the correctness of the factoring process.

Discussion Status

Some participants have provided guidance on the common denominator and have attempted to factor the expression, with one participant confirming the correctness of a proposed factorization. There is a note on the importance of using parentheses for clarity.

Contextual Notes

There is a suggestion that the original expression may need clarification regarding parentheses, indicating potential ambiguity in the problem setup.

Bigo75
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Homework Statement


x^2-x+1/x+1 -1/2


Homework Equations


need help factoring this


The Attempt at a Solution



A common denominator would be 2(x+1) but that does not change my numerator
 
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what is your GCD?
 
I think I got it, common deno is 2(x+1), which gives you 2x^2-3x+1/2(x+1) and that factors into (x-1)(2x-1)/2(x+1) Right?
 
Yes it is correct!
 
Assuming your original expression is (x^2-x+1)/(x+1)- 1/2, then it is correct.
Please use parentheses!
 

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