Quadratic Equations | Solve by factoring | Free Math Videos
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- Опубліковано 13 вер 2019
- I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.
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I want you to know that I was falling behind in a class for a solid half the year. This channel made an immediate difference. Thank you.
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Ye man our math teacher doesn’t even explain
I agree
Same our teachers great but not as you
Cramming in a year of math in 2 days. Thank you so much. I’ll tell you how finals go 😭
How’d it go lmfao
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I did get a C on it tho, and as someone who struggles a lot with math I know I tried my best-
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These type of math equations are actually easy, but can be difficult to memorize or understand why we have to do that 😭
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Dumbasss
This helped me out a lot even so long after. You’re a brilliant teacher if you still are right now thank you so much!!
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@@mixedprincess91 hi
A lot of my professors use this sort of method, but I never liked it cause it feels like cheating to me in that its more of a memorization of patterns than it is actual math. And whenever a professor of mine tries to explain it to me, I just end up completely lost.
I always swear by grouping when it comes to factoring. It's easy enough to do in your head, provided the numbers aren't ridiculous.
1. Take the leading coefficient and multiply it by the trailing number (the one without a variable)
In the video's example, we would do 2 (the leading coefficient) * 2 (the trailing number) = 4.
2. Figure out which two factors of that product will add to the center coefficient.
In the video's example, +5 is the center coefficient. Which two factors of 4 will add to +5? Well, that would 4 and 1. 4 * 1 = 4 and 4 + 1 = 5
3. Swap out the center value for the two factors you selected.
In the video's example, + 5x is the center value. We replace that with + 4x + 1x. This makes the equation 2x^2 + 4x + 1x + 2 = 0.
4. Group that into two separate expressions.
We have 2x^2 + 4x + x + 2. Group that into (2x^2 + 4x) (+x + 2)
5. Factor the two expressions such that each group ends up as the same factor.
We have (2x^2 + 4x) (+x + 2). Factoring the first group we get 2x(x+2), The second group we get 1(x+2). [Notice that (x+2) is the same in both groups]
Finally, take the coefficient of each group and combine them into one factor. And then take expression in the parenthesis as the other factor.
So our factors are 2x(x+2) and 1(x+2). Therefore our factors for our original trinomial would be the coefficients of each factor along with the factor in the parenthesis. So (2x+1) {coefficients} and (x+2)
That looks like a lot of steps, but I broke it down into detail. After you do it a couple times, its very easy to do in your head or quickly on paper if the numbers are too much for you to think about.
The "Guess-and-Check" method isn't cheating. It's just one that a lot of math educators grew up on (and have had a lot of practice with). Getting good at factoring, regardless of the method you prefer, takes practice. The method you are describing is called the "AC Method + Grouping." It's cool. However, when I use the "AC Method," I prefer to do so with an area model. I love area models because you can do a lot with them. When I do "Guess-and-Check," I don't do it like he does. I prefer the Singaporean approach.
With this being said, don't worry too much if you do something different from someone else. Math is the language of numbers, and there are lots of ways to do things. Whatever method you prefer, just make sure you understand it. For example, when you do grouping the way you do, it comes from the Distributive Property. In fact, it's where factoring, in general comes from. Factoring is all about taking an expression or equation and converting it into a multiplication problem.
im trying to help my son but i just can't. WOW!!!
Hey there! It's great to see you're putting in the effort to support your son. Remember, even the smallest gestures can make a big difference. Keep showing up for him, and together, you'll figure things out. You're doing amazing!
This helped me a lot!! Thanks !!You're a hero
Could you offer clarification on your statement at the beginning about all trinomials can be factored into two binomials? My initial reaction was to say not all trinomials can be factored but you could be talking about factoring over the a different system of numbers.
The statement that all trinomials can be factored into two binomials is true, but it might involve using complex numbers if the trinomial doesn't factor nicely with real numbers.
For example, x^2 + 1 can't be factored using just real numbers, but if you bring in complex numbers, you can express it as (x + i)(x - i), where i is the imaginary unit.
So, the catch is that we might need to extend our number system to include complex numbers to factor some trinomials. Hope that clears things up a bit!
Wow this has saved me a mark in the exam!
after going through ur videos for about 30 minutes now i totally get it thanks !!!!!!
*After
*minutes, now
*it. Thanks!
30 mins...??
You saved me before my final thank you sooo much you explain everything soooo much better that my actual teacher
You are
Very welcome!!
Thank you!!!
Is this the power of a god...
I love your teaching
watching this at 1 am still got 4 chapter left lmao😭 im studying for my final,hoping i get a decent mark
@@BobaTea-sk7vs cooked
thank you so much 😭🙏
W teacher I’m studying this hours before my final
That was fast
Sir , can you please tell me that why do students have to study equation , like Linear , Quadratic , Exponential , reciprocal etc ....
What is their purpose in practical life ?
Work out the combinations of factorisations!
Try every combinations until getting it right!😢
Omg i thought we only use the factor method when the leading coefficient is 1!
@يوتيوبر 72 si
nice
Thanks Sir from east Africa
If your middle term is negative do you make one of them negative
both of them will be negative iirc
What if it doesn't have a middle term?
If you're doing something like Difference of Squares, where there is no middle term, the middle terms have to be the same numbers but opposite signs, so they cancel one another out.
huh
i’m so fukin cooked, i have test today and finals on thursday it’s 1:34 am and i have no clue how to do ts
Bra, I’m confused asf and tomorrow I’m testing
I am Iraqi, but I study with this Teacher It seems to me that it is easy for him to explain a topic in two minutes, while our Teachers take two hours for one topic Also my English is not good and I don't want any comment about it
bro your english is fine don’t even worry about it 😭
@@y2kiwii512 I used a translator and tried to write some things by myself. I can read English but I will definitely write it wrong, so thank you for your comment. 🙏🏻🙏🏻
I love you
Happy to be able to help!!
How does -1 go into 2 ur restarted
have an algebra 1 exit exam in less than 2 weeks wish me luck
i’m confused
first
man am fucked
Same dog
This is not fast TF 💀💀
Upload your way then, since it’s faster. He’s a great teacher sharing his knowledge and clearly you need his help since you’re watching this video like the rest of us. TF.
Yeah TF thanks to him I passed on my exams esp in Pre cal
🥚
Bro is sped
???
Please speak slower and explain whatbyoure doing