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

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How to simplify a rational expression.
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25 июл 2023

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Комментарии : 58

@pcmjpcmj6854 11 месяцев назад

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

@stpat7614 10 месяцев назад

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.

@WombatMan64 9 месяцев назад

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.

@woodstream6137 9 месяцев назад

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.

@joebob4943 9 месяцев назад

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.

@oldschoollew 10 месяцев назад

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

@stuartyoung5728 8 месяцев назад

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

@devonwilson5776 10 месяцев назад

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).

@georgemalesky9462 5 месяцев назад

Thanks!

@genelowry5666 11 месяцев назад

I think it’s (3C-4)/(2C+1)

@danielmadden9691 3 месяца назад

Very nice and good to know

@kid5Media 11 месяцев назад

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

@andrewm6424 11 месяцев назад

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

@andrewm6424 11 месяцев назад

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

@TheSimCaptain 9 месяцев назад

@andrewm6424 It also can not equal 4/3.

@johanneschristopherstahle3395 9 месяцев назад

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

@TheSimCaptain 9 месяцев назад

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

@aryusure1943 4 месяца назад

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

@user-ky5dy5hl4d 11 месяцев назад

The way our teacher taught us to factor was by trial and error. Split the trinomial and begin plugging numbers to multiply the phrases in parenthesis until you get the original trinomial. It isn't that difficult but just time consuming.

@woodstream6137 9 месяцев назад

My 7th grade math teacher was into factoring. Pop quiz: pull out pencil and paper, write all the prime numbers up to 100. You have 15 seconds. Next quiz: same deal but 2 minutes to write all the numbers up to 100 and their factors.

@tonidozier4573 10 месяцев назад

Got it!

@tusk242 9 месяцев назад

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.

@DayanandPandey-ns5qc 3 месяца назад

3C-4/2C+1

@sanchellewellyn3478 11 месяцев назад

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

@baselinesweb 10 месяцев назад

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

@mathewshoyt1763 11 месяцев назад

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 11 месяцев назад

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

@garyalabama 10 месяцев назад

You must not be an engineer.

@borg590 10 месяцев назад

@@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 9 месяцев назад

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

@woodstream6137 9 месяцев назад

Problem solving skills be dammed

@JoseFernandez-qt8hm 11 месяцев назад

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

@user-ri6rn7ti5h 9 месяцев назад

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

@YoSasku 8 месяцев назад

@batavuskoga 11 месяцев назад

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 11 месяцев назад

UR hurting My brain; but I trust the Eval.

@johanneschristopherstahle3395 9 месяцев назад

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

@bobwineland9936 8 месяцев назад

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

@DayanandPandey-ns5qc 7 месяцев назад

Ans. 3c-4/2c+1

@mike-yp1uk 8 месяцев назад

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

@stephenreese5921 10 месяцев назад

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

@petenikolic5244 9 месяцев назад

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

@dwaipayandattaroy9801 11 месяцев назад

✌😂✌C= 1/5 , c = 5✌ 😂✌

@de00001 9 месяцев назад

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 4 месяца назад

26 minutes

@thomashawkinson7017 11 месяцев назад

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 11 месяцев назад

FR THATS WHAT I SAY

@robertakerman3570 11 месяцев назад

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

@TheSimCaptain 9 месяцев назад

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

@johanneschristopherstahle3395 9 месяцев назад

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.

@angelarhule4239 5 месяцев назад

Too confusing

@henkhu100 11 месяцев назад

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.

@elizabethschaab758 11 месяцев назад

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 11 месяцев назад

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 11 месяцев назад

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.

@DayanandPandey-ns5qc 7 месяцев назад

3C-4 /2C+1