Usually when learning this topic you also want to be proficient at Descartes Rule of Signs...learn more about that in this video I did here: th-cam.com/video/nTjnon4W8Sg/w-d-xo.html
Thank you so much mister. I’m having a hard time understanding my teacher but your teachings are way clearer and it helped me understanding the concepts a lot.
You're the freakin best dude! My math teacher still doesn't like me and she's the worst, so I'm still not getting very good grades. But I really do appreciate what you're doing.
Thank you! This is a question in my homework but the teacher didn't cover it at all in class. This makes finding terms and zeros a ton easier and guts the big guesswork. Wish my teacher had explained this a week ago. ugh
It doesnt have to be positive number to check for upper bounds (or negative for lower bound). Some domains could sit entirely on the positive side or negative side.
I did understand ur point that if we do take negative 6, we will get a lower bound. But what if i accidently take negative 8 and get alternate roots but at negative 6 also this alternate signs are there while performing the synthetic division. Then what to do at that case where you have a chance to miss a point of lower boundedness
So does this have anything to do with upper and lower bounds graphically on the Y axis or is “bounds” just a term used to define boundaries in the x axis in this case?
¿O yeah? Don´t give me this crap. Tell the student the hard and ugly truth: In real Engineering you never find nice single digit integer coefficients in a polynomial. Try to apply your Synthetic Division "Method" to: x^5 - 3.7892 x^3 + 0.1115 x^2 -1123.345 x + 0.34557 = 0 Haha! You better get a number crunching polynomial solver software. That software sweets very much the hard to swallow truth.
Usually when learning this topic you also want to be proficient at Descartes Rule of Signs...learn more about that in this video I did here: th-cam.com/video/nTjnon4W8Sg/w-d-xo.html
Lord, in class, the distractions are real.
Here, though, I learn in peace and at my own pace! I love it!
Glad my videos are helping you Hans!
You're a lifesaver, I have a test in three classes and I'd be a dead man without you!
+Mike Sam glad my video helped you!
AMAZINGLY clear and efficient! I love your teach style!
Thank you so much mister. I’m having a hard time understanding my teacher but your teachings are way clearer and it helped me understanding the concepts a lot.
You're the freakin best dude! My math teacher still doesn't like me and she's the worst, so I'm still not getting very good grades. But I really do appreciate what you're doing.
Thank you so much Mario! It always seems that the good math teachers are on TH-cam!
+David C. Thanks for the nice compliment! Glad the video helped you!
This video was a total lifesaver! It made the concept 1,000,000x easier to understand! thank you!
This man is my lord and savior, I have a test on this in 6 minutes
what did u get?
holy scrap i finally found a video that explain how to get them both CLEARLY my life saver THANKS.
Glad I could help!
Thanks!
I appreciate you!!!
Professor Ang OR Professor X your brain exudes greatness.
thank you for explaining this clearly!!
Glad it was helpful!
Thank you! This is a question in my homework but the teacher didn't cover it at all in class. This makes finding terms and zeros a ton easier and guts the big guesswork. Wish my teacher had explained this a week ago. ugh
You’re welcome! Glad my video helped you!
Great video, clear explanation, straight to the point .
Glad you liked my concise video on this concept!
you're welcome
This video was awesome. Thank you.
THANKS, Great video
Glad the video helped you!
the only glb ulb video that is understandable
Glad you liked the video!
What a great video!
Lifesaver!
This was so well explained thank you.
Thank you way better then book
Thanks this helps me a lot, of understanding the upper and lower bound😄
Nice :)
It doesnt have to be positive number to check for upper bounds (or negative for lower bound). Some domains could sit entirely on the positive side or negative side.
I did understand ur point that if we do take negative 6, we will get a lower bound. But what if i accidently take negative 8 and get alternate roots but at negative 6 also this alternate signs are there while performing the synthetic division. Then what to do at that case where you have a chance to miss a point of lower boundedness
Thanks! You just earned a subscriber
You’re welcome! And welcome to the channel!
Thank you very much! Your lesson really helps!
Your welcome! Glad my video helped you.
Thank you very much. It was really helpful.
Glad my video helped you Mohrukh!
great video, very clear. THANKS!
Your welcome! Glad my video made sense of the topic!
Thank you sir my doubts got cleared
Glad my video helped you!
thank you!
thanks man!
You bet!
Thank you so much!
what if it’s alternating aand it’s a zero ? do I stop or do I still have to keep going
Thanks so much sir!
You’re welcome!
Can we know the easiest way to find the upper and lower bound?
Thank you.
You’re welcome Sean!
Thank you sir!
You’re welcome Akshay!
My teacher just gave me a quiz with twenty possibilities, this could've saved me half an hour of trial-and-errors...
Thank You!
You’re welcome Bishal!
So does this have anything to do with upper and lower bounds graphically on the Y axis or is “bounds” just a term used to define boundaries in the x axis in this case?
X-axis...it’s for the upper and lower bounds of the zeros (x-intercepts of the graph) Boris.
essentially a binary search on rational roots candidates??
fucking awesome.
Wonderful
But if the first leading given Coefficient is -x which is -1 how do we solve for Upper bound?
Thank you
You’re welcome Tallal!
Fantastic tutorial!
+Jim Walls glad you liked the video!
Hey! Does anybody know where I can find the proof of this Theorem?
Thanks
You’re welcome Zirr Chen!
what if none of the factors work
why po is 0
4:15 Key moment.
So i did this with 8 and all my numbers are positive what does that mean?
It means that 8 is an upper bound Matthew and you won’t have a zero greater than 8.
i am so lost
help me
i fail
Me too😂😂
job. You*
¿O yeah? Don´t give me this crap. Tell the student the hard and ugly truth: In real Engineering you never find nice single digit integer coefficients in a polynomial. Try to apply your Synthetic Division "Method" to:
x^5 - 3.7892 x^3 + 0.1115 x^2 -1123.345 x + 0.34557 = 0
Haha! You better get a number crunching polynomial solver software. That software sweets very much the hard to swallow truth.
School is pointless
Thanks!
Thank you 🙏
Thanks
Welcome
Thank you !!
You’re welcome kawaiiyan!
Thank you
You’re welcome!