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Upper Bound and Lower Bound Finding Zeros Using Synthetic Division 

Mario's Math Tutoring
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Learn how to use the upper bound and lower bound when doing synthetic division to help you more quickly find the zeros. We go through an example in this free math video tutorial by Mario's Math Tutoring.
0:25 What are Zeros and how to find them.
0:40 Using the Rational Root Theorem to find possible rational Zeros
1:37 Being Strategic when you pick your Zeros to test
2:09 Using the Upper Bound to Narrow Down the Zeros
3:40 Using the Lower Bound to Narrow Down the Zeros
4:40 Quick Summary of the Upper and Lower Bound when doing Synthetic Division
Other Helpful Videos Related to this Topic:
Descartes Rule of Signs
• Descartes Rule of Signs
Synthetic Division
• How to do Synthetic Di...
Rational Root Theorem
• Rational Root Theorem
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18 окт 2016

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Комментарии : 93   
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
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: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-nTjnon4W8Sg.html
@fukinyouup
@fukinyouup 5 лет назад
thank you jeff bezos i have a test on this tomorrow
@Trendyrapslut
@Trendyrapslut 4 года назад
free armor trimming
@dice5315
@dice5315 3 года назад
lmaoooooo
@Aezue.
@Aezue. 7 месяцев назад
Maraming salamat sa paggawa sa lazada at shopee
@najngubeni2119
@najngubeni2119 Месяц назад
😂
@Gorgun2010
@Gorgun2010 5 лет назад
Lord, in class, the distractions are real. Here, though, I learn in peace and at my own pace! I love it!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad my videos are helping you Hans!
@mikesam7137
@mikesam7137 6 лет назад
You're a lifesaver, I have a test in three classes and I'd be a dead man without you!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Mike Sam glad my video helped you!
@ThaoNguyen-yb6xq
@ThaoNguyen-yb6xq Год назад
AMAZINGLY clear and efficient! I love your teach style!
@Clangdon0148
@Clangdon0148 3 года назад
This man is my lord and savior, I have a test on this in 6 minutes
@MountShine
@MountShine 3 года назад
what did u get?
@jeffreyzheng4924
@jeffreyzheng4924 3 года назад
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.
@davidrivard1252
@davidrivard1252 2 года назад
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.
@badgirlrhi2938
@badgirlrhi2938 3 года назад
This video was a total lifesaver! It made the concept 1,000,000x easier to understand! thank you!
@janmaridelapena9949
@janmaridelapena9949 2 месяца назад
holy scrap i finally found a video that explain how to get them both CLEARLY my life saver THANKS.
@MariosMathTutoring
@MariosMathTutoring 2 месяца назад
Glad I could help!
@David-wt5hf
@David-wt5hf 7 лет назад
Thank you so much Mario! It always seems that the good math teachers are on RU-vid!
@MariosMathTutoring
@MariosMathTutoring 7 лет назад
+David C. Thanks for the nice compliment! Glad the video helped you!
@rahulsiddharth554
@rahulsiddharth554 3 года назад
What a great video! Lifesaver!
@chriswilliams5291
@chriswilliams5291 2 года назад
This was so well explained thank you.
@MrJapogm
@MrJapogm 2 года назад
This video was awesome. Thank you.
@ncsyeyy1292
@ncsyeyy1292 3 года назад
Thanks this helps me a lot, of understanding the upper and lower bound😄
@snehagoyal1146
@snehagoyal1146 3 года назад
Thank you so much!
@unitedpvp1372
@unitedpvp1372 6 лет назад
great video, very clear. THANKS!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome! Glad my video made sense of the topic!
@alanaliu7548
@alanaliu7548 2 года назад
thank you!
@urdadgina4410
@urdadgina4410 6 лет назад
Thank you very much! Your lesson really helps!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome! Glad my video helped you.
@blacksand8427
@blacksand8427 7 лет назад
Wonderful
@ThaoNguyen-yb6xq
@ThaoNguyen-yb6xq Год назад
Thanks!
@mohrukhtalabkhoja2493
@mohrukhtalabkhoja2493 6 лет назад
Thank you very much. It was really helpful.
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Glad my video helped you Mohrukh!
@Thedevontree
@Thedevontree 3 месяца назад
Thank you way better then book
@noonesperfect
@noonesperfect 6 лет назад
Great video, clear explanation, straight to the point .
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Glad you liked my concise video on this concept!
@noonesperfect
@noonesperfect 6 лет назад
you're welcome
@adubatta3420
@adubatta3420 5 лет назад
Thanks! You just earned a subscriber
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome! And welcome to the channel!
@bishal9957
@bishal9957 5 лет назад
Thank You!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Bishal!
@redcoin2249
@redcoin2249 5 лет назад
Thanks so much sir!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome!
@djklsjfjflkdsjfsd1006
@djklsjfjflkdsjfsd1006 4 года назад
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
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome! Glad my video helped you!
@akshaydhende3769
@akshaydhende3769 5 лет назад
Thank you sir!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Akshay!
@naomi-dn2kn
@naomi-dn2kn 5 лет назад
Thank you !!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome kawaiiyan!
@shocksword6847
@shocksword6847 5 лет назад
Thank you.
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Sean!
@Maths_3.1415
@Maths_3.1415 Год назад
Nice :)
@Rohit-wd8pn
@Rohit-wd8pn 5 лет назад
Thank you sir my doubts got cleared
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad my video helped you!
@pri6787
@pri6787 Год назад
thanks man!
@MariosMathTutoring
@MariosMathTutoring Год назад
You bet!
@kartikparameshwaran6091
@kartikparameshwaran6091 4 года назад
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
@adrianpolydorou
@adrianpolydorou 6 лет назад
the only glb ulb video that is understandable
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Glad you liked the video!
@tallalmoshrif6643
@tallalmoshrif6643 5 лет назад
Thank you
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Tallal!
@royalfinest
@royalfinest 2 года назад
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.
@justinah4523
@justinah4523 Год назад
Thanks
@MariosMathTutoring
@MariosMathTutoring Год назад
Welcome
@Trendyrapslut
@Trendyrapslut 4 года назад
I have a problem with a leading coefficient of 1, and a constant of -1. I immediately set my boundaries as -1
@jimwalls2810
@jimwalls2810 6 лет назад
Fantastic tutorial!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Jim Walls glad you liked the video!
@Gorgun2010
@Gorgun2010 5 лет назад
My teacher just gave me a quiz with twenty possibilities, this could've saved me half an hour of trial-and-errors...
@elenaisnothere
@elenaisnothere 2 года назад
what if it’s alternating aand it’s a zero ? do I stop or do I still have to keep going
@enrhicomega2918
@enrhicomega2918 3 года назад
But if the first leading given Coefficient is -x which is -1 how do we solve for Upper bound?
@christophermolina800
@christophermolina800 2 года назад
Hey! Does anybody know where I can find the proof of this Theorem?
@sharpnova2
@sharpnova2 3 года назад
essentially a binary search on rational roots candidates?? fucking awesome.
@jenniecamposano8463
@jenniecamposano8463 7 лет назад
Can we know the easiest way to find the upper and lower bound?
@awkwarddoggo05
@awkwarddoggo05 Год назад
4:15 Key moment.
@borisbeltev7214
@borisbeltev7214 4 года назад
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?
@MariosMathTutoring
@MariosMathTutoring 4 года назад
X-axis...it’s for the upper and lower bounds of the zeros (x-intercepts of the graph) Boris.
@matthewrevoredo7591
@matthewrevoredo7591 5 лет назад
So i did this with 8 and all my numbers are positive what does that mean?
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
It means that 8 is an upper bound Matthew and you won’t have a zero greater than 8.
@markeithwhitaker409
@markeithwhitaker409 9 месяцев назад
Me too😂😂
@nickerroloyando8139
@nickerroloyando8139 3 года назад
why po is 0
@RaviKumar-si5zs
@RaviKumar-si5zs 6 лет назад
job. You*
@dopoky
@dopoky 3 года назад
i am so lost help me i fail
@powerdriller4124
@powerdriller4124 5 месяцев назад
¿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.
@kingfedat2944
@kingfedat2944 4 года назад
School is pointless
@Whitehallers
@Whitehallers 2 года назад
Thanks!
@MariosMathTutoring
@MariosMathTutoring 10 месяцев назад
I appreciate you!!!
@manishkota4145
@manishkota4145 4 года назад
Thank you
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome!
@zirrchen6442
@zirrchen6442 6 лет назад
Thanks
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
You’re welcome Zirr Chen!
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