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.
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
@@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. 🙏🏻🙏🏻
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!
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!
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 ?
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.
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.
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.
bro deadass same
I wish you were my teacher
We all want that
Ye man our math teacher doesn’t even explain
Same our teachers great but not as you
don’t let your current math teachers be seeing this 💀
Me either this teacher is so good❤
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!!
after going through ur videos for about 30 minutes now i totally get it thanks !!!!!!
*After
*minutes, now
*it. Thanks!
30 mins...??
@@mixedprincess91 shut up 🤬
@@ok-nk1rt *Shut
*🤬.
@@mixedprincess91hey guys that’s not nice
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.
you saved me and my best friend Julia's LIFEEEEE!!!!!
this dudes such a goat he pulls through he got me through senior year of highschool
*This dude’s
*goat; he
*through. He
*high school.
@@mixedprincess91 hi
@@mixedprincess91im gonna be so genuine when i tell you people like you are insufferable
im too high for this shit
swear 😂😂😂
@@kayfer3638 bro got a fortnite pfp aint no one high 💀
@@zares fr 😭😭
Dumbasss
no cap bruh shouldn’t have smoked a j before this😭
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
@@pariisblussoms awful 😭
I did get a C on it tho, and as someone who struggles a lot with math I know I tried my best-
@@Toast_ig lmfao that’s not even bad bruh! You did good 😭
These type of math equations are actually easy, but can be difficult to memorize or understand why we have to do that 😭
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. 🙏🏻🙏🏻
Thanks my teacher was trying to teach me GCF which I struggled but you helped
I gotta focus more on class, I got a test tmrw and need this help
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!
Thanks a lot mate, I’m doing quadratics rn and I forgot how to factor them.
THANK YOU SO MUCH FOR THIS, I WAS STRUGGLING WITH THIS!!!
Wow this has saved me a mark in the exam!
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!
You saved me before my final thank you sooo much you explain everything soooo much better that my actual teacher
You are
Very welcome!!
I missed school Friday so this is helpful lol
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
you are such a good teacher.
Is this the power of a god...
u deserve my teacher’s salary
W teacher I’m studying this hours before my final
This helped me a lot!! Thanks !!You're a hero
Work out the combinations of factorisations!
Try every combinations until getting it right!😢
Thank you teach!
I love your teaching
But what if it isnt equal to 0? Or what if it just says find X and the question is x² + 5x + 6?
Thanks!
I'm so blessed 😊
Omg i thought we only use the factor method when the leading coefficient is 1!
@يوتيوبر 72 si
Thanks sir
Thanks Sir you saved me
That was fast
thank you so much 😭🙏
Brian
Thank you!!!
Man I’m already back to this shit again 😂
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
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 ?
@@asadahmed3072 coding
Thanks Sir from east Africa
Is ma brain tuff or something 😭I still don't understand
Te amo
My teacher taught me this in a totally different way and even my answer is different so now I am confused 😭😭
nice
huh
i wish u were my dad so i can absent😂
If your middle term is negative do you make one of them negative
both of them will be negative iirc
I love you
Happy to be able to help!!
i’m confused
Bra, I’m confused asf and tomorrow I’m testing
Gesh.., it was easier
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.
Bro i cant understand anything with depression wtf
Thats wrong u missed like 4 steps bro
first
have an algebra 1 exit exam in less than 2 weeks wish me luck
How does -1 go into 2 ur restarted
what
I'm in Calculus trying to learn derivatives, but I never learned how to factor. Am I cooked?
Bro this is my precalc too for engineering 💀💀 DW gang we in this together this is learnable
Bro its to short
I guess I'm so dumb.
@@yandepai your not the only one that thinks like that
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
Please speak slower and explain whatbyoure doing
@@cat.mittens reduce playback speed
🥚
Nahhhhh you did him dirty 💀
man am fucked
Same dog
Bro is sped
???