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Solve the fallowing by factoring and making appropriate sign charts.

  1. Jul 16, 2008 #1
    1. The problem statement, all variables and given/known data
    Solve the fallowing by factoring and making appropriate sign charts.
    [tex]2x^2+4x\leq3[/tex]


    2. Relevant equations
    3. 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?
     
  2. jcsd
  3. Jul 16, 2008 #2

    symbolipoint

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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.
     
  4. Jul 16, 2008 #3
    I guess I'll just use the formula.
     
  5. Jul 16, 2008 #4

    symbolipoint

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    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?
     
  6. Jul 16, 2008 #5
    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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