Simplify Expression: f(x) 1/x^2 -4, x+1 - x^2/x+2

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Homework Help Overview

The discussion revolves around simplifying the expression f(x) = x+1 - x^2/x+2, 1/x^2 - 4, with the goal of expressing it as a quadratic polynomial.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to clarify the correct interpretation of the expression due to confusion caused by punctuation. There is a focus on whether the expression should be treated as two separate parts or a single expression.

Discussion Status

Some participants have provided guidance on how to clarify the expression by suggesting the use of brackets. There is ongoing exploration of the correct format and meaning of the original problem statement.

Contextual Notes

Participants express uncertainty regarding the punctuation in the problem statement, which affects their understanding of the expression to be simplified.

slywolf1992
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Homework Statement



simplify the expression: f(x) = x+1 - x^2/x+2,
1/x^2 -4

Homework Equations


leaving the answer as a quadratic polynomial.

1. = 3x^2 + 4x + 4
2. = x^2-4x + 4
3. x^2 -4x - 4
4. 3x^2 +4x - 4
5. x^2 +4x - 4
6. 3x^2 -4x -4

The Attempt at a Solution


I got 6 but I think that is wrong. The comma is confusing me. Please help.

Homework Statement


Homework Equations


The Attempt at a Solution

 
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slywolf1992 said:

Homework Statement



simplify the expression: f(x) = x+1 - x^2/x+2,
1/x^2 -4

Homework Equations


leaving the answer as a quadratic polynomial.

1. = 3x^2 + 4x + 4
2. = x^2-4x + 4
3. x^2 -4x - 4
4. 3x^2 +4x - 4
5. x^2 +4x - 4
6. 3x^2 -4x -4

The Attempt at a Solution


I got 6 but I think that is wrong. The comma is confusing me. Please help.

As written, your first expression means
[tex]x+1-\frac{x^2}{x}+2 = x+1-x+2 = 3.[/tex]
Did you actually mean
[tex]x+1 - \frac{x^2}{x+2} \text{ or } \frac{x+1-x^2}{x+2}\,?[/tex]
If you mean the first, write it as x+1 - x^2/(x+2) [note the bracket!]; if you mean the second, write it as (x + 1 - x^2)/(x+2) [Note both brackets.]

RGV
 


I mean the first one.
 


slywolf1992 said:
I mean the first one.

OK, so re-writing what you wrote we now have x+1 - x^2/(x+2), 1/x^2-4. Does this mean two separate expressions (namely, x+1 - x^2/(x+2) and either (1/x^2) - 4 or 1/(x^2-4)), or does ...,1/x^2-4 stand for something else that I cannot figure out?

RGV
 


That's what is bothering me. The comma makes no sense. Do you mind telling me your email so I can just email the picture I snapped of the problem? It might make more sense to see it as is. If not, do you know how I can link a photo to the forum post?
 


There's an insert image button just underneath the smiley in your reply options. I think you'll need to upload the image onto the net though, using imageshack or some other site.
 


You can also upload an image to PF and "attach" it to your post, provided it meets certain size restrictions. Use the "Manage Attachments" button below the message-entry pane. You'll see the size restrictions then.
 

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