Solve the fallowing by factoring and making appropriate sign charts.

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Homework Help Overview

The problem involves solving the inequality 2x^2 + 4x ≤ 3 by factoring and using sign charts. The subject area is algebra, specifically focusing on quadratic inequalities.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss attempts to factor the expression after rearranging it to 2x^2 + 4x - 3 ≤ 0. There is uncertainty about whether factoring is the appropriate method, with some suggesting the use of the quadratic formula instead.

Discussion Status

The discussion reflects a mix of attempts to factor the quadratic expression and questions about the validity of the instructions to solve by factoring. Some participants express confusion regarding the directions provided in the homework.

Contextual Notes

Participants note that the problem is part of a review packet for Calculus 2, which may influence their approach and understanding of the requirements.

epkid08
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Homework Statement


Solve the fallowing by factoring and making appropriate sign charts.
[tex]2x^2+4x\leq3[/tex]


Homework Equations


The Attempt at a Solution


It simply does not factor the way I want it to(unless I did something wrong). I don't think it wants me to use the quadratic formula, and completing the square won't get me anywhere. Am I missing something?
 
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Let's try:
Add (-3) to both sides,
2x^2 + 4x - 3 <= 0

Can we factorize the lefthand side?

(2x_____ -1 ) (x_____ +3 )
(2x_____ +1 ) (x_____ -3 )
(2x_____ -3 ) (x_____ +1 )
(2x_____ +3 ) (x_____ -1 )
Do ANY of those four work? If yes, then factored/
If no, then use quadratic formula solution.
 
I guess I'll just use the formula.
 
epkid08 said:
I guess I'll just use the formula.

That is the best choice; I examined the four different arrangements and none of them will multiply to give the trinomial expression. Are you sure that YOUR instructions are to solve by factoring?
 
Oh yes I am, I'm doing this in a review packet for Calc2. The only reason I posted it was because I was confused by the directions:confused:.
 

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