I honestly agree, my teacher spent about an hour explaining this and the factor theorem, and he explains it in 6 minutes is just wild. thank you so much
My teacher was gone and assigned Edgenuity work while the sub was in, and the sub had no idea how to help and Edgenuity's videos overcomplicate things, so I came here and bam! Makes sense now. You will not believe how many math videos overcomplicate things nowadays, thank you for being clear and simple, you really helped me and my classmates out a bunch! thank you so much!
You are an incredible human being. Thank you so much for explaining this so easily. My son, who is 13 years old, is taking Algebra 2 in 8th grade. He is so smart but he is sometimes lazy and he does not like to do his research to learn. I have been helping him find videos which are not confusing and can get to the point.
Totally forgot this that I learned it in Algebra 2, and now I came here to factor Characteristic Equations of Recurrence Relations for Discrete Structures course... Thank you! It helped a lot!
Thanks Mario! Just one tip to add... You can factor out 2 from the original function and that will reduce the possible number of roots and get rid of the fractions :) .
The moment you gave me how to find P and q, I instantly know what the hell I should do. Our book was so untouched towards their audience, like come on man, show and tell! Not tell and tell, give us some arrows. I don't want to sound like a boomer but back in the day, they at least have some kind of clear directions.
It's a quadratic equation x^2 - 5x + 6 So the -3 and -2 came from that their sum is -5 (the second cooffecient) and their product is 6 (the third cooffecient)
Is there an Irrational/Complex Root Theorem? Or something of that nature? Because it sure would suck to try and divide every single combination and end up realizing that all the roots are irrational or complex so you still don't know how to factor the polynomial...
How do you know which numbers to try for synthetic division after using the Rational Root Theorem? Is it just trial and error? That can be time consuming especially if you have a polynomial with a large constant having a ton of factors.
This video is a great resource. One question...If I have many possible solutions, but I find one of them, do I still have to test the remaining solutions or could I stay with the one I found? Thank you for all that you do!
just a question, the number of degree/exponents hints how many zeros we have to find, correct? what if the highest degree of exponent is only 1? do we only have to do the substitution part because we are only looking for one zero? Thank you so much in advance! 💕
This was a really fun 4th degree polynomial problem to work. But my son Math Prof seems to seek out even more exotic problems such as the one here: (4x^2-3)^2 + 7(4x^2-3) +10 = 0. After factoring and simplifying we notice that it is a 4th degree polynomial as well and should have four solutions. How should we go about such a problem? U-substitution or synthetic division? Your help is most kindly appreciated. 🥴 Thank you!!
Can I find question on rational root theorem in my SAT subject test math🤔🤔 I didn't find any question on rational root in any of the sample paper I tried🤔🤔🤔🤔
You could plug each value in to the function and see if it equals zero...the synthetic division is just a quicker way of doing the same thing....hope that helps Tim!
the fact that a 6 minute video that is half a decade old was more efficient and enjoyable then my teacher's 2 hour lecture is wild
I honestly agree, my teacher spent about an hour explaining this and the factor theorem, and he explains it in 6 minutes is just wild. thank you so much
2016 was not that long ago :/
@@EmpoIeon its 7 years ago
@@EmpoIeon kind of was relatively
and I'm still using it which is crazy
was half asleep when my tutor was teaching, was half asleep when I watched this. Guess which one made the facts stick.
good shit thanks mario
your welcome
bruh funniest comment here lmao, nick acting like mario his homie or he know him irl lmaoo
@@arav4045 he does, he's his son 💀💀
@@saketmurali4985 damn
@@arav4045 just kidding
My teacher was gone and assigned Edgenuity work while the sub was in, and the sub had no idea how to help and Edgenuity's videos overcomplicate things, so I came here and bam! Makes sense now.
You will not believe how many math videos overcomplicate things nowadays, thank you for being clear and simple, you really helped me and my classmates out a bunch!
thank you so much!
Glad there's someone else who hates Edgenuity
Ive looked at a lot of rational root theorm videos but this one is the best. Subscribed immediatly
This is incredibly useful even 5 years later. Thanks Mario.
You're welcome
This was a very educational video. I like how you get specific about all the details and explain any knowledge needed before the next idea. Well done!
This is one of my most favorite videos on UA-cam. No BS.
life saver ( i didnt pay attention in class and I need this now)
Thank you for your Rational Root Theroem Video. It helped me understand how to solve the problems that I had trouble with.
You're welcome!
You are an incredible human being. Thank you so much for explaining this so easily. My son, who is 13 years old, is taking Algebra 2 in 8th grade. He is so smart but he is sometimes lazy and he does not like to do his research to learn. I have been helping him find videos which are not confusing and can get to the point.
Is it normal for schools in the US to teach students in 8th grade this topic?
@@stellagyan8200 It depends. Not all of them but some schools place some students in a higher level math class.
@@yaakcon that's interesting gd to know
I don’t know about other schools but I am a Junior in highschool and am taking Algebra 2
damn you're fast at solving, you deserve more subscribers sir
Glad you are benefitting from my videos and channel Serge!
That's was easier way to get the solution. I appreciate you.
Thanks! Glad to hear that.
Thank you so much!
This is exactly what I was looking for and asked about in your new video's comments.👍
Great!
You're an angel and a very good teacher, I appreciate you so much. I hope you're doing well.
Totally forgot this that I learned it in Algebra 2, and now I came here to factor Characteristic Equations of Recurrence Relations for Discrete Structures course...
Thank you! It helped a lot!
Im kinda relying on you to have the right video now that im on zoom and not paying attention in class, so thanks, and keep making more vids plz.
You explained it very well! Your videos are quite helpful.
+Vincent Tye awesome! Glad you are finding my videos helpful!
Thanks Mario!
Just one tip to add... You can factor out 2 from the original function and that will reduce the possible number of roots and get rid of the fractions :) .
wow, this was way easier to understand than the lesson I read!!! Thanks so much😃
Mr. Mario! You just earned a sub! Thank you so much for helping me in my pre-calc class!
Welcome!
Possibly just saved my quiz score
thank you so muchhhh i love the explaination you gave rather than me just blindly following steps
It’s funny just how many of us just have terrible teachers and are coming here for information LOL
Thank goodness this is here, I have exams this week and completely forgot how to do this
I’m glad the video helped you remember!
I love how you teach to the point. thank you
You're very welcome!
Your better than my Teacher in Algebra😂co'z i can't understand when he's teaching to us
Glad you like my teaching!
Omg thank you sm my test is soon and I just understood from this video!!!
Glad it helped!
A 7 year old video has made me understand the concept , unlike the 2 hour lecture that the lecturer explained this
i had trouble factoring for some reason and my school would not explain it, this helped a lot
this is a very informative and use full tutorial of the rational root theorem, thank you sir
Glad it was helpful!
You make it so easy to understand! Thank you!
Saved my grade in Algebra II, thanks a ton
You’re welcome! Glad my video helped you!
my college professor made this seem impossible, but i get it now. thank you 🙏
The moment you gave me how to find P and q, I instantly know what the hell I should do. Our book was so untouched towards their audience, like come on man, show and tell! Not tell and tell, give us some arrows.
I don't want to sound like a boomer but back in the day, they at least have some kind of clear directions.
Hello sir can you tell me how did it become 2(x²-5+6)? did u somehow divide it by 2?4:33
Understand a lot better now! Before just couldn't understand or retain info from teacher
ur the best maths teacher
Bro ended my crusade of 2hrs trying to understand this thanky you so much 😭
How did you get (x-3)(x-2) as the factors? I don’t really understand that part. Could someone help explain that to me?
It's a quadratic equation
x^2 - 5x + 6
So the -3 and -2 came from that their sum is -5 (the second cooffecient) and their product is 6 (the third cooffecient)
@@Omar_A_Mosaad thank you 🙏
this video has taught me a lot, thanks for this
Glad to hear it!
this 7 year old youtube video did in 5 minutes what my teacher couldn’t do in 3 weeks, i love school.
Is there an Irrational/Complex Root Theorem? Or something of that nature? Because it sure would suck to try and divide every single combination and end up realizing that all the roots are irrational or complex so you still don't know how to factor the polynomial...
Thank you im reviewing for my midterms.
That was very helpful man
Thanks for the amazing simple explanation ❤️
what a legend you are
Thank you all the way into 2021
your'e a good teacher
How do you know which numbers to try for synthetic division after using the Rational Root Theorem? Is it just trial and error? That can be time consuming especially if you have a polynomial with a large constant having a ton of factors.
Thanks , it helped me a lot
I’m glad it was helpful.
5% of my class time, is all it took for you to teach this
Is there a specific reason to use synthetic division rather than just replacing x with the rational roots?
Paul, it is just usually quicker that’s all.
I realized that rational root theorem was easy to understand after i watched this video
Just a doubt, can we first cancel out the 2 from all the terms? It would make it easier
yeah you can he said so in an earlier comment :)
Great explanation, thank you!!
Hi.
In the 2nd example of synthetic division where we use 1, why is the 2nd number not -12? Thanks
Excellent video tutorial!
Thanks!
Mario's Math Tutoring You’re welcome! You explained this in less than 10 minutes and helped me pass a Pre-Calculus test!!! Keep up the great work!
Glad my video helped you!
This video is a great resource. One question...If I have many possible solutions, but I find one of them, do I still have to test the remaining solutions or could I stay with the one I found? Thank you for all that you do!
this video saved my education you don’t even know
this rocks, man! thanks!
I understood everything. Thanks a lot
Awesome! Glad my video helped you Irupa!
@@MariosMathTutoring Thanks
Thanks Teacher Mario this helped me a lot!
Glad my video helped you!
Nice explaination, thanks
+Linda K thanks...glad it helped you.
This is really helpful thanks👍! now I can finally start my math homework ;-; hope all of you are the same XD
LOL yes
taught me what my teacher couldn't in 6 minutes
I love your videos Mario!!! Always great but you did forget the y - intercept at Neg. 12 :)
Why does the synthetic division test the answers out? Couldn't you just insert the values as x to see if it comes out as zero?
Notification squad 💪🏿
Wow this was amazing thank you!
My teacher needs to give their paycheck to you
just a question, the number of degree/exponents hints how many zeros we have to find, correct?
what if the highest degree of exponent is only 1? do we only have to do the substitution part because we are only looking for one zero?
Thank you so much in advance! 💕
Yes the degree tells you the number of zeros including complex zeros, imaginary zeros, real zeros, and multiplicities.
@@MariosMathTutoring So if the highest degree is 1, do we only have to do the substitution part because we are looking for only one zero?
Thank you for this!
Omg your the best teacher ever thanks ❤️❤️❤️❤️
Thanks. Very well done.
Your welcome! Glad you liked the video!
thank you, good video, easy to understand
You’re welcome!
Does it work for any degree eqn?
This was a really fun 4th degree polynomial problem to work. But my son Math Prof seems to seek out even more exotic problems such as the one here: (4x^2-3)^2 + 7(4x^2-3) +10 = 0.
After factoring and simplifying we notice that it is a 4th degree polynomial as well and should have four solutions. How should we go about such a problem?
U-substitution or synthetic division? Your help is most kindly appreciated. 🥴
Thank you!!
Sheryl I recommend doing a u substitution for 4x^2-3
Then factor from there and set the factors to zero to find the zeros.
Very helpful video
learned more in 5 minutes than 5 hours with my teacher
3:46 please, synthetic division for 1??? Nope ... that's unacceptable. Just sum the coefficients!
I was about to comment..❤😂😂
Can I find question on rational root theorem in my SAT subject test math🤔🤔 I didn't find any question on rational root in any of the sample paper I tried🤔🤔🤔🤔
i got lost at 4:27 please helpp
How the hell do you factor a 5 into two or three. I understand everything else except for that part🤦♂️
great concept...thanks
Glad you liked the video!
Why can’t people like this be my teacher 😢
very helpful, thanks
What if there is no constant? Does "p" become the last coefficient? It must...........??
I believe you would take out x first
thank you iw as stuck on calc hw no longer
You’re welcome!
Thanks Alottt!!!!
Thank you Mario. Wouldn't this example have been much more manageable had we factored out a 2 from the outset?
Thank You!
Very helpful thanks
great video
Thanks!
thanks it really helps
Your welcome!
What if I cancel oll the factors out?
mr. mario do u have to do synthetic division or can you plug each possible root into the original function?
You could plug each value in to the function and see if it equals zero...the synthetic division is just a quicker way of doing the same thing....hope that helps Tim!
Thank you~
what if there is no constant ? what method should I use?
Take the x out until you get a constant
how do we know to use -6 or +6 ?
You dont. It's just trial and error
thanks this helped so much!
You’re welcome Jessica! Glad my video helped you!
signed in just to upvote