Results 1 to 5 of 5

Math Help - Factoring Trinomial with fractions

  1. #1
    Junior Member
    Joined
    Feb 2009
    Posts
    31

    Factoring Trinomial with fractions

    Having issues with the following problem:

    -1/3x^2 + 6x + 6 = y

    I tried converting everything into fractions, but to no avail. Attempting to factor in order to find the vertex and axis of symmetry.

    Any assistance that may be provided to lead me in the right direction would be greatly appreciated!

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,318
    Thanks
    1232
    \displaystyle y = -\frac{1}{3}x^2 + 6x + 6

    \displaystyle = -\frac{1}{3}(x^2 - 18x - 18)

    \displaystyle = -\frac{1}{3}\left[x^2 - 18x + (-9)^2 - (-9)^2 - 18\right]

    \displaystyle = -\frac{1}{3}\left[(x-9)^2 - 81 - 18\right]

    \displaystyle = -\frac{1}{3}\left[(x-9)^2 - 99\right]

    \displaystyle = -\frac{1}{3}\left[(x-9)^2 - (\sqrt{99})^2\right]

    \displaystyle = -\frac{1}{3}\left[(x - 9)^2 - (3\sqrt{11})^2\right]

    \displaystyle = -\frac{1}{3}(x - 9 - 3\sqrt{11})(x - 9 + 3\sqrt{11}).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by Hapa View Post
    Having issues with the following problem:

    -1/3x^2 + 6x + 6 = y

    I tried converting everything into fractions, but to no avail. Attempting to factor in order to find the vertex and axis of symmetry.

    Any assistance that may be provided to lead me in the right direction would be greatly appreciated!

    Thanks!
    -\frac{1}{3}(x^2 - 18x) = y - 6

    -\frac{1}{3}(x^2 - 18x + 81) = y - 6 - 27

    -\frac{1}{3}(x - 9)^2 = y - 33<br />

    -\frac{1}{3}(x - 9)^2 + 33 = y

    can you finish?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Feb 2009
    Posts
    31
    my apologies for not stating the question correctly, what i meant to convey was:

    What were the two binomials used to end up with:

    -1/3x^2 + 6x+ 6

    thanks again and sorry for the confusion
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,318
    Thanks
    1232
    And my answer gives them...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Factoring trinomial
    Posted in the Algebra Forum
    Replies: 8
    Last Post: September 21st 2011, 02:04 PM
  2. Factoring a Trinomial
    Posted in the Algebra Forum
    Replies: 5
    Last Post: March 8th 2010, 01:44 PM
  3. trinomial factoring
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 3rd 2008, 09:48 AM
  4. factoring a trinomial
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 27th 2008, 10:12 PM
  5. Need Help Factoring this Trinomial
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 1st 2007, 04:05 PM

Search Tags


/mathhelpforum @mathhelpforum