Results 1 to 4 of 4

Math Help - reduce to lowest terms - fraction of polynomials

  1. #1
    Member
    Joined
    Mar 2008
    From
    Texas
    Posts
    110
    Awards
    1

    Exclamation reduce to lowest terms - fraction of polynomials

    Can someone help me reduce this? I have no idea what to do with the denominator. :-(

    \frac{4x^4-25}{6x^3-4x^2+15x-10}

    Thank you very much!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor harish21's Avatar
    Joined
    Feb 2010
    From
    Dirty South
    Posts
    1,036
    Thanks
    10
    Quote Originally Posted by yvonnehr View Post
    Can someone help me reduce this? I have no idea what to do with the denominator. :-(

    \frac{4x^4-25}{6x^3-4x^2+15x-10}

    Thank you very much!
    Numerator : {4x^4-25} = (2x)^2-(5)^2

    Since  a^2-b^2=(a+b)(a-b) , you can write

    {4x^4-25}= (2x+5)(2x-5)

    and you have:

    Denominator: 6x^3-4x^2+15x-10 = 2x^2(3x-2)+5(3x-2) = (3x-2)(2x^2+5)

    so you have:

    \frac{4x^4-25}{6x^3-4x^2+15x-10}  = \frac{(2x+5)(2x-5)}{(3x-2)(2x^2+5)}

    cancel out the like terms
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by yvonnehr View Post
    Can someone help me reduce this? I have no idea what to do with the denominator. :-(

    \frac{4x^4-25}{6x^3-4x^2+15x-10}

    Thank you very much!

    The denominator can be factored by grouping

    6x^3-4x^2+15x-10=2x^2(3x-2)+5(3x-2)=(3x-2)(2x^2+5)=...

    Can you finish from here?

    Too slow
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Mar 2008
    From
    Texas
    Posts
    110
    Awards
    1

    Many Thanks!

    Many Thanks, Gentlemen!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Fraction in Lowest terms
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 29th 2010, 05:44 AM
  2. Lowest terms
    Posted in the Algebra Forum
    Replies: 7
    Last Post: April 8th 2009, 12:16 AM
  3. Reduce fraction to lowest terms
    Posted in the Algebra Forum
    Replies: 4
    Last Post: January 23rd 2009, 12:11 AM
  4. Replies: 1
    Last Post: April 26th 2008, 11:28 PM
  5. lowest terms
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 8th 2007, 05:03 PM

Search Tags


/mathhelpforum @mathhelpforum