Skip navigation
558 Views 1 Reply Latest reply: Mar 28, 2001 12:00 AM by TKHunny RSS
Copper 60 posts since
Feb 8, 2001
Currently Being Moderated

Mar 28, 2001 12:00 AM

GCF and LCM of polynomials

how do i find the GCF and LCM of these polynomials?

y^3-4y; y^4-8y
  • TKHunny Copper 2,520 posts since
    Sep 25, 2009
    Currently Being Moderated
    Mar 28, 2001 12:00 AM (in response to trae_lee-disabled)
    GCF and LCM of polynomials
    y3-4y; y4-8y

    As with every other GCF/LCM problem, your best approach MUST include a complete factorization.

    y3-4y = y�(y2-4) = y�(y+2)�(y-2)

    y4-8y = y�(y3-8) = y�(y-2)�(y2+2y+4)

    The LCM Zone

    The LCM is the collection of factors that JUST contains each factor of each element. No need to count a factor from one element if it is already included in a previous element.

    Just copy the first one:

    y�(y+2)�(y-2)

    Then add whatever it does not have, that the other does.

    yskip this one�(y-2)skip this one�(y2+2y+4)use this one

    y�(y+2)�(y-2)�(y2+2y+4)

    Gives the LCM

    The GCF Zone

    GCF is the collection of factors that are common to all elements.

    y�(y+2)�(y-2)
    y�(y-2)�(y2+2y+4)

    Both have a 'y'
    Both have a 'y-2'

    That's it.

    y�(y-2) is the GCF

More Like This

  • Retrieving data ...

Bookmarked By (0)