Math Fractions & Equations : How to Factor Polynomials by Grouping

In math, factoring by grouping means that the greatest common factor needs to be found. Factor four different terms through grouping with help from a math author and teacher in this free video on math lessons.

Expert: Brian Leaf
Contact: www.brianleaf.com
Bio: Brian Leaf, MA, is the author of McGraw-Hill’s “Top 50 Skills for SAT/ACT Success” series.
Filmmaker: David Pakman

Duration : 0:2:30


[youtube xvubtLJBLvA]

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25 Responses to “Math Fractions & Equations : How to Factor Polynomials by Grouping”

  1. Thatscrunk22 Says:

    Thank you so much, …
    Thank you so much, ya helped alot !!

  2. Sectorsophia Says:

    I learned this all …
    I learned this all long ago, and forgot most of it. great refresher!

  3. 0871356005 Says:

    that was a lot …
    that was a lot easier than i thought. thanks.

  4. charizardsspirit Says:

    thank you for …
    thank you for refreshing my mind

  5. FBman42 Says:

    do you do the same …
    do you do the same thing with 3 terms instead of 4?

  6. FBman42 Says:

    thanks a bunch
    thanks a bunch

  7. CJGAdamson Says:

    he sounds a little …
    he sounds a little like kermit the frog =)

  8. RastaDiaper Says:

    i have the algebra …
    i have the algebra 1 exam tommow
    THANKS A BUNCHHH!

  9. Amor4uxoxo Says:

    thanks!!!!!! ur …
    thanks!!!!!! ur more helpful dan my math teacher

  10. cRAPPYdECK Says:

    F*@ K I did my work …
    F*@ K I did my work wrong thanks for telling me how 2 do it properly my teacher wouldnt help after i missed a week of school i had 2 find people like u and again thanks

  11. ktmlover90 Says:

    thanks man i …
    thanks man i understand now!

  12. kallivira Says:

    If the whole …
    If the whole equation has a GCF it is easier to factor. In yours, you said 6X^3 - 4X^2 - 6X +4. Well using the method of grouping, 6X^3 - 4X^2 would become 2X^2 (3X-2) and -6X +4 would become -2 ( 3X -2) = 2X^2(3X-2) -2(3X-2) From here you remove (3X-2)leaving 2X^2-2. Thus your final answer is (3X-2)(2X^2-2)

  13. kallivira Says:

    There is a ” …
    There is a “Greatest Common Factor” in your formula. The Greatest Common Factor is the highest degree of the lowest common factor. In this case, your lowest common Factor, aside from 1, is X. Now, the highest degree of X which can be found through out the equation is X^2. Making X^2 the Greatest Common Factor. Leaving you with X^2 ( 3X + 5 - 4X^2 ) Now if you want it to be less confusing, write it with the highest degree on one side going down as… X^2 ( -4X^2 + 3X + 5 ) known as a “Trinomial”.

  14. arsh0dhillon Says:

    how would u solve …
    how would u solve if there not GCF such as 3x^3+5x^2-4x^-4

  15. briceze Says:

    Thank you very much
    Thank you very much

  16. iamcoolerthanyouall Says:

    you are a god. …
    you are a god. Thank you

  17. SuperDieMaxx Says:

    You take the GCF …
    You take the GCF out: 2(3x^3 - 2x^2 - 3x + 2) and just solve the inside like the guy in the video did as if it wasn’t in parentheses.

  18. vidfreak727 Says:

    ok a little too …
    ok a little too early for this.

  19. jazyfizle Says:

    How would you do a …
    How would you do a problem like this if the whole thing has a GCF?
    For example:
    6x^3 - 4x^2 - 6x + 4

  20. BrianLeafMA Says:

    You’re very welcome …
    You’re very welcome. I’m glad that it helped.

  21. stunnaasskid Says:

    this was so helpful …
    this was so helpful better than the 1 my teacher showed us.. thank you so much…

  22. thatkidnumber24 Says:

    wow thanks man u …
    wow thanks man u made it seem way easier then my dumb teacher

  23. mcflygirl1977 Says:

    thank you so much!
    thank you so much!

  24. aiG0oChamNa Says:

    wthell i dun get it …
    wthell i dun get it. efffffff ma life

  25. TheThreePadillas Says:

    I love you, man!
    I love you, man!

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