ONLY those Math students STRONG in factoring can do this easily.

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  • เผยแพร่เมื่อ 28 ก.ย. 2024
  • How to simplify a rational expression.
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ความคิดเห็น • 57

  • @stpat7614
    @stpat7614 ปีที่แล้ว +3

    23:24 Aren't the two expressions different here? I believe the left expression has a hole at c = 1/5. The right expression does not.

  • @pcmjpcmj6854
    @pcmjpcmj6854 ปีที่แล้ว +1

    A great example. Made me think. Loved it. Thank You

  • @andrewm6424
    @andrewm6424 ปีที่แล้ว +2

    Time to see how I did. I got (3c - 4 ) / (2c + 1) where c can NOT equal negative 1/2.

    • @andrewm6424
      @andrewm6424 ปีที่แล้ว +1

      C also can NOT equal 1/5th. (I missed that one).

    • @TheSimCaptain
      @TheSimCaptain ปีที่แล้ว

      ​@andrewm6424 It also can not equal 4/3.

    • @johanneschristopherstahle3395
      @johanneschristopherstahle3395 11 หลายเดือนก่อน

      ​@@TheSimCaptainIt can. The term would equal 0 then. But you are not allowed to divide by 0.

    • @TheSimCaptain
      @TheSimCaptain 11 หลายเดือนก่อน

      @johanneschristopherstahle3395 That's why it can't equal 4/3.

  • @Kleermaker1000
    @Kleermaker1000 หลายเดือนก่อน +1

    This is a good one.

  • @genelowry5666
    @genelowry5666 ปีที่แล้ว +2

    I think it’s (3C-4)/(2C+1)

  • @oldschoollew
    @oldschoollew ปีที่แล้ว

    Ty for the refresh i saw the 5 right away from the get go.....

  • @kid5Media
    @kid5Media ปีที่แล้ว

    Got it. Haven't had a class in over 20 years. Except these.

  • @georgemalesky9462
    @georgemalesky9462 8 หลายเดือนก่อน

    Thanks!

  • @DayanandPandey-ns5qc
    @DayanandPandey-ns5qc 6 หลายเดือนก่อน

    3C-4/2C+1

  • @StephenRayWesley
    @StephenRayWesley 11 หลายเดือนก่อน

    (c+1c-3) (c+1c-2)

  • @WombatMan64
    @WombatMan64 ปีที่แล้ว +1

    This was a good one. The only thing I'd suggest is swapping it round, show us the factoring technique with the simpler example. I factored the other way and when you showed us the method I paused and tried it on the denominator, and was a bit disappointed that it was so much simpler. If you'd showed us the technique on the easy one then I could trial it out on the more complicated one and see how I go.

  • @tusk242
    @tusk242 ปีที่แล้ว

    I had a very thick spoken German teacher for math. and not easy to here her, with some students who jabbered, between each other, and then the disruption of her asking them to be quiet. So many of us who had such classes like this, did not learn to take and interest in Math, but far worse for students who try, do well , but then there are the "IEP'S " students that do NOT have to do any work, and get a "C". If they apply themselves half way , they get an "A". TODAYS college now take more without really passing the SAT, but because they meat the WHAT"S NOW" ACCEPENCE, verses students who do not, but did well WITHOUT AN Y SPECIAL ADDVANTAGES GIVEN. do not get accepted, or get the jobs.

  • @bobwineland9936
    @bobwineland9936 10 หลายเดือนก่อน

    Trying first without looking.
    3C-4/2C+1

  • @baselinesweb
    @baselinesweb ปีที่แล้ว

    Never did the multiplication step before. (15*4) - thanks for the tip!

  • @petenikolic5244
    @petenikolic5244 ปีที่แล้ว

    Well for a start remove the Alpha from it make sense then

  • @YoSasku
    @YoSasku 11 หลายเดือนก่อน

    41

  • @mike-yp1uk
    @mike-yp1uk 11 หลายเดือนก่อน

    Oh it helped me to realize how much I need to learn. Lmao

  • @de00001
    @de00001 ปีที่แล้ว +1

    Ouch, that's not a simplification of the rational expression, it is an unacceptable corruption of the expression - suddenly you can use c=0.2 without running into division by zero! What a shame. Where is the discussion about continuity and removable discontinuity??

  • @harrymatabal8448
    @harrymatabal8448 7 หลายเดือนก่อน

    26 minutes

  • @dwaipayandattaroy9801
    @dwaipayandattaroy9801 ปีที่แล้ว

    ✌😂✌C= 1/5 , c = 5✌ 😂✌

  • @henkhu100
    @henkhu100 ปีที่แล้ว +1

    First: the way you perform the factoring can only be applied in very special cases. In most of the situations you will not find the factors in this way.
    Second: the original expresion is undefined for c=1/5. Your answer has a well defined value for c=1/5
    So without talking about dividing by zero (what you do if c=1/5). the method is incomplete, as is the answer.
    Please stop teaching these kind of incorrect, incomplete methods.

  • @thomashawkinson7017
    @thomashawkinson7017 ปีที่แล้ว +1

    It took him 20 minutes to do one problem. How can he expect students to handle 8 or 10 of these problems in a thirty-minute exam??

    • @aquaticanimations9789
      @aquaticanimations9789 ปีที่แล้ว

      FR THATS WHAT I SAY

    • @robertakerman3570
      @robertakerman3570 ปีที่แล้ว

      @@aquaticanimations9789 Likely, one prob for homework. Certainly not 9 probs on a test.

    • @TheSimCaptain
      @TheSimCaptain ปีที่แล้ว

      ​@@aquaticanimations9789That's how teaching works. It takes a lot longer to explain than to do.

    • @johanneschristopherstahle3395
      @johanneschristopherstahle3395 11 หลายเดือนก่อน

      If you do this in an exam, be sure to mark that c is not allowed to be 1/5, because you would run into a division by 0.

  • @DayanandPandey-ns5qc
    @DayanandPandey-ns5qc 10 หลายเดือนก่อน

    3C-4 /2C+1

  • @JoseFernandez-qt8hm
    @JoseFernandez-qt8hm ปีที่แล้ว +1

    you need a plumber, carpenter, electrician?????

  • @mathewshoyt1763
    @mathewshoyt1763 ปีที่แล้ว +7

    30years out of high school and i have never implemented factoring in the real world... these complex math equations are solely for other countries not to think we are so poorly in math

    • @robertakerman3570
      @robertakerman3570 ปีที่แล้ว +3

      Possibly, but there's a structure of the mind being created. Thinking can't be useless.

    • @garyalabama
      @garyalabama ปีที่แล้ว

      You must not be an engineer.

    • @borg590
      @borg590 ปีที่แล้ว

      @@garyalabama Both of my brothers are mechanicals and i am a power plant electrician so the only equation that makes sense to me is: (brother 1 salary) + (brother 2 salary) < brother 3 salary - c. Where “c” equals no college degree.

    • @joebob4943
      @joebob4943 ปีที่แล้ว

      ​@@borg590There are uTube "influencers" who make way more than you just for doing dumb things. Who needs knowledge?

    • @woodstream6137
      @woodstream6137 ปีที่แล้ว

      Problem solving skills be dammed

  • @batavuskoga
    @batavuskoga ปีที่แล้ว +2

    Why not solving it with the quadratic equation ?
    You will get : c=4/3 and c=1/5
    By further calculation you will see that c=1/5 is not possible, because you can't divide by zero.
    So the only possible answer for c=4/3.
    When you substitute c by 4/3, the nominator becomes zero, then the solution is zero.
    0/number = 0

    • @robertakerman3570
      @robertakerman3570 ปีที่แล้ว

      UR hurting My brain; but I trust the Eval.

    • @johanneschristopherstahle3395
      @johanneschristopherstahle3395 11 หลายเดือนก่อน

      Because it is just a term. The goal is to simplify. No one said you should check for roots.

  • @stuartyoung5728
    @stuartyoung5728 10 หลายเดือนก่อน

    Some textbooks csll polynomials with 1 as leading coefficient monic polynomials.

  • @aryusure1943
    @aryusure1943 7 หลายเดือนก่อน

    Well, I need some factoring practice for sure. Not there yet but I don't give up. ;)

  • @stephenreese5921
    @stephenreese5921 ปีที่แล้ว

    I was good until I got to 28*28. Couldn’t do it in my head but could do it in a calculator to get 8*784 = 6272

  • @danielmadden9691
    @danielmadden9691 6 หลายเดือนก่อน

    Very nice and good to know

  • @angelarhule4239
    @angelarhule4239 7 หลายเดือนก่อน

    Too confusing

  • @DayanandPandey-ns5qc
    @DayanandPandey-ns5qc 10 หลายเดือนก่อน

    Ans. 3c-4/2c+1

  • @devonwilson5776
    @devonwilson5776 ปีที่แล้ว

    Greetings. The simplified result of the expression is ((3C-4)/(2C+1). We determine the result as follows, 15 times C raised to the 2nd power minus 23C plus 4 equals (3C-4)(5C-1) all divided by (5C-1)(2C+1). Thereafter (5C-1) in the numerator will cancel (5C-1) in the denominator leaving us with (3C-4)/(2C+1).

  • @joebob4943
    @joebob4943 ปีที่แล้ว

    This brought back traumatic highschool homework memories from the late 80s🙂 I could get how to do the simpler stuff explained in class, then the homework that night would start throwing in the curve balls and I would be like ah daaaaaamn😐 Thanks for the good times Mr. Cole.

  • @woodstream6137
    @woodstream6137 ปีที่แล้ว

    I don't remember learning the gcf technique where you split the middle term and factor. Very interesting. I was extensively tested on knowing primes and composites of numbers and could do this in my head.

  • @sanchellewellyn3478
    @sanchellewellyn3478 ปีที่แล้ว

    I would have used the box method to factor those trinomials quickly.

  • @tonidozier4573
    @tonidozier4573 ปีที่แล้ว

    Got it!

  • @elizabethschaab758
    @elizabethschaab758 ปีที่แล้ว +1

    What in the world is “cross cancel”?????? When I taught high school math, I made sure that the students knew what was really happening - having the same factor in the numerator and denominator makes a “1.” For heaven’s sake, call it what it is!! Lose the nonsense words!!!!!

    • @aaronaragon7838
      @aaronaragon7838 ปีที่แล้ว

      What is an ex High School math teacher doing here? A lot of us are trying to get away from you clowns via the Net. The damage y'all caused...

    • @pcmjpcmj6854
      @pcmjpcmj6854 ปีที่แล้ว

      I have struggled with maths but the way TCM thoroughly explains problems makes perfect sense to me and I am now able to understand concepts I previously was dumbfounded by. Both explanations makes sense to me now but previously I might have got confused.