I'm stressing out like crazy in my College Algebra class but you're actually a really huge help, thank you. You take it at a very nice pace and you explain things very simply. You made it seem far less threatening. Thank you.
I was looking at my textbook for the past hour, I could not even understand what the heck it is talking about. Thank you for your thorough explanation. LOVE YOU! I wish you were my math teacher.
Thank you so much
12 years on and I'm still coming back to your channel for refreshers on math.
patrickJMT is the best.
I'm stressing out like crazy in my College Algebra class but you're actually a really huge help, thank you. You take it at a very nice pace and you explain things very simply. You made it seem far less threatening. Thank you.
I was looking at my textbook for the past hour, I could not even understand what the heck it is talking about. Thank you for your thorough explanation. LOVE YOU! I wish you were my math teacher.
Thank you so much![:
It's amazing how so many people just give up in classes because they don't understand.
Whether I have missed a class, was not paying attention, or just didn't understand, I always come on youtube and search.
Helped me alot! Thanks again[:
You explain this better than my teacher! Thanks.
You have and are helping me through my college Algebra class! You are a wonderful teacher!!!
u make this so easy to understand. in my algebra class i feel like im on another planet cause i dont understand a thing my teacher says...that and the fact she's always absent..
Thank u Soooo much!!!!
@shiftkeyk yep, you are very welcome
This was really helpful. I actually missed this part in class the other day and I'm so glad that people like you give people like me free help by making videos like this. I have a take home exam that's due at 8am!
I take an online math class and some things are hard to teach myself in print. This helped me a ton! Wish I would have found it 2 hours ago when I started this problem!
@BugJasmine my pleasure ; )
I absolutely adore your videos! And owe you so much! Without you, I'd be failing my math classes since freshmen year! THANK YOU!!!
I got to UT right now and you are keeping me at the 3.0 GPA level because of your mini-lectures. Thanks!
Thank you this was very helpful, I really didn't understand Descartes Rule of Signs till now ^ _ ^ !!!
Thank you soooo much for having this up! I have a test tomorrow and I know nothing about it. Your tutorial is so easy to follow I can do it already! Thank you! Have a wonderful day!
Thank you so much. You are saving me 20 dollars an hour on a tutor. You are really helping me with my college algebra class.
Thank you so much, I missed one day of school when they decided to discuss this, then I couldn't figure out why only some of the signs changed when we did f(-x). I just realized that it is supposed to be raised to its power, not just changed to the opposite sign.
Thank you so much...my teacher at school isn't the best so it's hard to understand what he's talking about but you are amazing at teaching!
Thank you so much for doing this, my teacher and text book were of no help to me when trying to learn this subject matter.
I Wish you were my College Algebra teacher. I love the way you make things simple and do everything step by step. Thanks man :-)
@19912010ahcWoodburn my pleasure : )
Thank you Patrick ! Really trying to understand this theme and with you it is much easier!
You've taught me more in a couple of hours than my lecturer did all semester, thanks a million. :)
What my teacher taught me as far as the P(-x) and finding the number of times the sign changes is you can just look at the odd exponents like 2x^5 and -3x and change their signs, so it would me -2x^5 and 3x. But over all this video explained this concept better than my teacher. thank you :)
@HeIsTheStig thanks for sharing with your friends!
i'm back 9 months later to say that it did helped... and by the way. thanx for replying on a previous video. i don't know when this will show up again but i'm sure i will remember it
Thanks man. I need to re-watch this a couple hundred times before it sets in.
@khashya786786 no, but 2 is a multiple of 1 !
This was more clear than how my teacher explained. Your video is very helpful, thank you!
Your videos are very helpful thank you so much. The majority of my college teachers are jokes. Usually I learn everything from your videos. Thanks a lot!
@SuzieQ1046 no, why would it be?
thank you for this! its really going to help me out on that quiz i have next week, my teacher doesnt really "teach" if you know what i mean so im stuck trying to figure it out with my textbook. but this helps alot!
Holy shit... you taught me this in 12 minutes better than my math teacher could in 1 hour....
@sackTizzle neither did you
needed this so much! thank you for existing!!!
thank you sooo much! I've been reviewing this for the past hour and the book didn't explain the decrease by 2... I know I'll do well now :D
@Lucerozeus good luck!
omggg thank you!!!!!!! i learned more from this video than in two days in class
Thank you so much! Only watched the first 3 minutes of the video and I got an understanding of it.
thanks, and tell your teacher thanks as well!
WOW! Thank you so incredibly much! I didn't understand this before your video but this is soooo easy now that I see it! THANK YOU!
i try to throw in a bit of my personality so long as it does on totally distract ;)
this helped a lot. you teach better than my teacher
@zumbaluv87 come back any time :)
Thank you, so much :,D
You are an inspiration to us all!
I am definitely sharing your videos with my classmates tomorrow, right after acing my last test of the semester! (Hopefully)
thanks, it really helps stuff i learn in my online class make sense
Thanks for all your great videos!
Thanks so much. This was one particular thing that I didn't understand in class but I get it now.
thankyou so so much for taking your time to create this!
Hay im not the maker of this vid but we did go over this in calss. ok first of all you know that you can finde the total number of roots by looking at the highest power X is raised to (X^2 gives you 2) then find the number of other roots useing decarts rule and subtract from total :) good luck
@TheDancarr60 i am the dude. (big lebowski)
Patrick, you know more about real roots than an African hair salon. I thank you, sir.
PatrickJMT is the best thing since sliced bread, running water, and pockets on pants. Almost as good as indoor outhouses, but not quite. Good looking out, I'm passing because of you!
Your examples were better to understand then what my girlfriends teacher showed her how to do. Thank you for the help.
Thank you. Wish I would have found you at the start of the semester.
Woah thank you soo much this really helped me understand this topic, u did a very well job teaching :)
Hi Patrick,You really do a better job than some teachers.C.J
THANK GOD FOR YOU PATRICK
glad i could help :)
@vietnamesegalz I thought it was odd too...until i realized all of the videos I was watching were by Patrick lol....He's the man.
Helpful presentation. Thank you!
That helped a ton thanks! But how do you find how many negative zeros you have?
the total number of roots are equal to the highest degree of exponent right? so for example we're done with finding the positive and negative roots of the equation but it is still less than the total number of roots, does it mean that the remaining roots are complex numbers?
@freddw1 By factoring, quadratic formula, etc. It depends on the particular polynomial.
Thanks some much Patrick keep up the good work!
thank you so much for uploading this..means a lot .. :)
do you have a video about descartes rules of signs but stating the number of complex roots as well?
for change of signs, let's say I have a max of 3 real postive roots, does that mean i can have just have ONE (3-1) real postitive root too?
How do I utilize this in finding roots and factoring, say, cubic polynomials? Will this somehow tell me which roots to plug in if I am trying to factor the 3rd (or 4th or 5th) degree polynomial? Thanks for videos!!!
Don't you think that after calculating the number of sign changes in the coefficients of p(x),(i.e the number of possible positive real roots);simply by observing the number of times the signs didnt change will give you the possible number of negative real roots instead of the tedious job of finding p(-x) and calculating the sign changes
so since there has to be 1 real negative root and there are 2 or 0 real positive roots does that mean there has to be 2 or 4 complex roots, because its a fifth degree polynomial?
Thank you so much for your help.
I love your wit, where'd you get that? is it innate or something?
The equation with all positive sign does that mean zero change and zero as root right?
Please tell me when in life would I need to use this formula?? When would I use this formula for a real life situation!!!!!
@Metallica1554 Because there is are 5 roots (excluding the 0). One for each degree of the polynomial, learned that in Algebra 2.
You rock!!! Thanks for this helpful video
Whiteboard > Paper
thanks for saving my butt for my test in 15 mins! YOUR MY HERO!
its well explained here, but i have a question that is actually asking me to discuss the zeros after applying the descaretes' rule
-x^5 + 2x^4 - x^2 -1
ive spent so much time on it, yet i cant seem to be able to solve it
I frikkin love you! Why can't YOU be my math teacher? Seriously you need to move to Florida and replace my math teacher lol I'll spread the word about your channel. You sir are awesome c:
Can you explain the number of occurrences of imaginary roots vis a vis the Descartes theorem?
thank you man. very helpful
Thank you so much OTL
helped me a lot. thumbs up to you!
@zanedvs If you're commenting about his arms, then you're obviously not watching selectively.
This has been a great help, but my textbook also requires us to write out how many imaginary numbers there can possibly be.. I'm a bit confused on that. Can you explain that please?
Thanks so much extremely helpful!
GREAT STUFF! THANKS!
Does the rule tell you anything about roots at x=0?
Thank you sir this helped me.
one question for positive real roots, for example you get 2 positive real roots and Zero. I understand how you get zero because of imaginary numbers, but the exmaple where you got only 1 real root at 9:11 , how come you dont get zero real roots too. Is it because the power is odd and not even? please post back by tom, i have a test l0l
@Xiricon ahahahahahhahh sweeeeeeeeeeeeeeeeeet
Love this guy. Makes my life easier! (:
thx this will come in handy on tomorrow's test
wow this is really helpful!
Thank you man
Assuming that there are 2 positive roots and one negative occurring simultaneously what is also known is that there are 5 zeros for this quadratic equation. what about the remaining two are they imaginary ?
For example #1: How come there is not 0 negative real roots? Is it only for positive that you can go down to 0?
YOU. Are a god.
Thank you for teaching me.