Solve the fallowing by factoring and making appropriate sign charts.

[epkid08]

Homework Statement

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

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?

 

[symbolipoint]

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.

 

[epkid08]

I guess I'll just use the formula.

 

[symbolipoint]

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?

 

[epkid08]

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.