How To Find the Zeros of The Function
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- čas přidán 1. 09. 2011
- 👉 Learn how to find all the zeros of a polynomial by grouping. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values of x for which the value of the polynomial is zero.
To find the zeros of a polynomial by grouping, we first equate the polynomial to 0 and then use our knowledge of factoring by grouping to factor the polynomial. Next, we use the zero-product property to evaluate the factored polynomial and hence obtain the zeros of the polynomial.
Recall that the zero-product property states that when the product of two or more terms is zero, then either of the term is equal to 0.
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Organized Videos:
✅Zeros of a Polynomial by Factoring
• Zeros of a Polynomial ...
✅Zeros and Multiplicity of Polynomials | Learn About
• Zeros and Multiplicity...
✅How to Find all of the Zeros by Sum and Difference of Two Cubes
• How to Find all of the...
✅How to Find all of the Zeros by Grouping
• How to Find all of the...
✅How to Find all of the Zeros in Factored Form
• How to Find all of the...
✅How to Find all of the Zeros by Factoring 5th Degree
• How to Find all of the...
✅How to Find all of the Zeros by Difference of Two Squares
• How to Find all of the...
✅How to Find all of the Zeros by Factoring 4th Degree
• How to Find all of the...
✅How to Find all of the Zeros of a 3rd Degree Polynomial
• How to Find all of the...
✅How to Find all of the Zeros Without Factoring
• How to Find all of the...
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When you have to teach class at 9, but assassinate a target at 10
huh?
Free Math Videos
you sorta look like the guy from hitman
yeah don't you know that if you're bald you automatically look like every other bald person??? Just like if you have blonde hair you automatically look like every other blonde hair person of course duh
He is referencing that you like the main character from the video game "Hitman".
Thanks for the help with this video by the way.
Its currently 2024 and im watching this for math
Same
Yeah
Same
yep
Fr
My math teacher is very rude and likes to speed his way through a lesson without letting the class ask questions. Thank you for helping me and uploading these videos. You're a life saver :)
happy to be there for you, you are very welcome!
i have the same thing but with my social studies teacher
the dude knows nothing about what he is doing
Our teachers are indifferent 😭!!
8 years later and this dude saving me lol
12 years later and he is still saving me
This is very helpful, my teacher this year is not good
+homiz96 sorry to hear about that, teaching and recording myself all year.
Same
Same my teacher is just sooooo boastful and sooo annoying af🤙🏻
Sameee
Teqcher are always good but the difference is we r not ablr to get the point that what they r actually trying to make us understand
i’ve been trying to learn how to do this for 2 months, and then it took 3:05 minutes of this video for me to 100% understand it. Bless up for this dude
Dude, you're awesome. I wish I had you as my teacher!
happy to help!
Free Math Videos Really helpful video
I think I can help u
I've been struggling with this concept and going into a mild panic attack due to having an exam on this in the morning. Really wish I found your videos a few weeks ago when I began studying for this exam, but better late than never I guess. Thank you so much!
you are very welcome! you will be okay. Keep working hard
Really saved me for my pre calc test lol. This video was a good refresher.
FancyPants208 awesome! happy to help you out
Hey, I’m u, but like 5 years later :D
Luke Ochoa XD
woahhh u took calc in 2014???you're probably like 24 now :0 hope you're thriving
Now I want to see a life report
Over the years when I have been confused while studying math, I have always been able to find a solid explanation on this channel. Thank you for your hard work!
So happy to hear that!!
we introduce this in Algebra 1 but go much deeper in pre-calculus. Keep up the hard work
After all these years and every time I come back to this channel there's always something there to help me with whatever I need. Truly awesome
thanks, your comment had me cracking up this morning.
@Verena Faheem doesnt factor
@@zigfoe3292 i think thats a little late lmao
@@bellaklein8692 tbf he replied to a 8 year old comment while mine was just a few months behind, regardless it's never too late to learn :D
@@zigfoe3292 tru that
dude I cannot even begin to express how helpful these videos are, you're the sole reason I'm surviving pre calc
When u gotta teach class at 8 but got a meeting at the casting couch at 9
when u copy a comment at 8 and make it worse at 9
@@pixoljef7830 when you copy the copied comment out of sarcasm but it makes even less sense
@@dsnow7211 lmao I remember that joke I made years ago. Really brings tears to my eyes. 🥲
Your right, the best way to overcome this is to practice. I know that is a cliche answer but the more you practice the more your confidence will grow
been struggling with this all year, never truly understood it until I found this. Thank you so much!
I had a teacher that taught like you in high school, now that I am in college teachers just ask us questions and expect us to know it all without an explanation. Thank you!!!!
This is pre-calculus. Keep up the hard work!
don't worry I have examples of those types of problems too. When you have two (x-4)'s as your factors we can re write it from (x-4)(x-4) to (x-4)^2. Now our factor is raised to an even power. When we have a factor to any even power it is said to have even multiplicity. What does even multiplicity mean? It means that the graph will touch and rebound at x=4 rather than cross at x=4. However x=4 is still a zero of the polynomial. Did that explanation help?
I am loving your videos! Thank you for explaining and even giving students a chance to ask questions on how you came about with your answer
I swear thank you so much man. I have final exam after tomorrow, and this is the only thing I couldn’t understand, but now thanks to you I understand. Again I say thank you so much.
I know you already got a million of these types of comments, but thank you for helping me understand math just a little bit more. I haven't had a real math teacher since 7th grade (multiple first year teachers got fired because the class refused to listen, and bullied the teachers, then student's parents would be the "substitute" for the rest of the year, but would just give us the answers). Now I'm in college taking a math course and my professor speeds through the problems. So fast that I cannot write everything down while trying to understand what is happening within the problem. She insists that everything is "easy" and it's the "simplest" thing to do, but I struggle hard for hours trying to do my homework, and when I watch your videos I finally go, "ooooooohhh!".
Exactly!!!
you are very welcome! happy to help
I wish I had this guy as my teacher
I am just online
@3:57 is me contemplating my life this semester lol Thank you for your help!
Oh my goodness! This tutorial was awesome! I'd been struggling with polynomials for hours but Brian was so easy to understand. Solved a few math problems in a couple minutes! Thanks so much
So happy to be able to help you out!
I love how you actually explain what your doing as ur doing it.
I searched on youtube to explain the same question the person in your video asked about, and that was the clearest answer ever!!! Thank you
I have been looking for hours to find a way to explain this for upcoming exams, you do it in such a way which makes it so much easier to understand! Also due to you doing it in a classroom with students it makes it feel as though they are asking for us! Great work your my hero at the moment!
you are very welcome! Happy to be there for you
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perfect! happy to help
You are literally the only teacher I understand math from!!! You are helping me so much with my pre calc class
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A true visionary. Thank you!
+demolish000000 you are very welcome! happy to help
Its currently 2:17 AM on August 27th, 2021. It has been almost 10 years since this video came out and he is the reason why I will finally get to sleep tonight!
you are welcome, happy to help!
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might be hard but I am very happy that you are learning
I've been looking for this kind of problem and I finally found a useful video! Thank you so much!
Duuuuuude you’re an awesome teacher! My teacher does things way too fast and my friend who has a different teacher for algebra 2 tried to explain this to me but I was still confused. You’re a lifesaver!!!
Thank you so much! With virtual school this year it's been really challenging to have proper instruction
With this explanation about factoring by grouping I finally understand what's going on. Literally aloud "Ooohhh!"
I want to thank you so much! I had no idea how to find zeros because my teacher doesn't teach well and she's only been teaching for one year. She tries to dodge every question we have and doesn't answer it fully when she receives one. But now that I found you, I feel ready for my midterms now! Thank you!
+soy sawce great to hear. Keep up the hard work and let me know if there is anything else I can do for you to assist you.
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I am having my exams rn and this is a really great way for me to review for everything i learned in class. Thank you!
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Happy to help nitro!
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12 years later and I'm still learning from this legend
Great lesson and thorough explanation.
James Whyte thank you! happy to be able to help
No, thank you! I've been watching your videos for a few years now without them I don't know if I would have passed! Thank you for your clarity. Keep up the great work!
James Whyte will do!
In India cbse our maths is way tougher than this.... Specially class 11 and 12 syllabus for IIT JEE..... Very complex problems in Physics Chemistry and Maths... But very well explained sir thanks to u keep it up ur really a nice teacher
Yur videos are really helpful! and im taking college algebra and with yur videos I seem to understand it better :)
In case anybody isn’t understanding the part the student asked about, here’s how to understand exactly what factoring out is doing in this equation:
x^2 (x-4) - 9 (x- 4) gets rewritten as (x - 4) (x^2 - 9) because when you distribute (x - 4) you get [(x - 4) * x^2] - [9 * (x - 4)] which is x^2 (x - 4) -9 (x - 4).
What’s happening when you factor out is you’re doing the reverse of distribution. It gets confusing because up until this point in math, you’re most practiced in doing it one way instead of the other, but the process is doing the exact same thing just in reverse.
Thank you
10 years later and he’s still so helpful
Helped me during the algebra test
As an indian, I wish you were my teacher. Whenever I ask my teachers doubts, they just get mad for no reason. Good work with the explaining
Most people need to see something a couple of times before it can sink in. CZcams is excellent for that
Wish I had you as a teacher. I actually considered dropping out of college because I had such a terrible teacher but thought it was just me being too dumb to understand math. You're way better.
You have to either use factoring, quadratic formula or use your calculator to find the zeros
This helped so much!! My pre calc teacher doesn't teach us anything and this problem was right out of our textbook
Thank you so much for these awesome videos!!!
I am online schooled so I love watching these because it reminds me of being back in actual school LOL and they are more helpful then my online lessons so
great teacher, super reliable source
Thank you so much! An oldie but a goldie! My teacher hasn't explained this in a semester as well as you did in 2 minutes :)
: ) happy to help
Thank you. Very easy to understand.
Your videos are perfect for the 2021 lockdown my teacher isn’t good at explaining math and if we don’t understand its to bad so sad. So your videos have been teaching me more then my teacher thank you
I don't know why but I learn a lot better when its on CZcams. I thought this was really hard in class but now it makes a lot more sense.
Damn girl had to cough right when the question and answer were being discussed...hold your cough! 🤣
12 years later hes still saving lives 😭😭
Thanks for the refresher! Now i've gone through everything for the algebra 1 regents in 2 days!
awesome! happy to be able to help you out!
THANK YOU SIRRRR!!!! THIS HELP ME A LOT DURING MY LECTURE CLASS. NEVER MISS YOUR VIDS SIR!!..THANKS AGAIN.
i always enjoy and understand clearly your videos, thank you for making them, my teacher is not helping at all and i don't know what do to to pass the course, thank you!
you are very welcome Naoemi!!!
9 years later...and youre still helping people :D
Lol, I like your pace. Boom boom boom. This was really helpful, thank you so much!!
Forgot to factor and find the zeroes. This helped a lot. Thank you!!!
Thank you ,thank you so much ! You have no idea how much this small video just helped me.
+hira muhammad happy to be able to assist you!
you are very welcome!
thank you ive been over thinking this all day trying to figure out if i was doing it right or not W vid
Thank you, I love your videos. They help a lot!
This channel needs more subs, my teacher told us this year in preparation for college he would just help us if we had any questions and that we had to learn everything ourselves. I mean I would hope they still teach students in college??? I mean what's the point of college if you don't get taught? What am I spending my money on then? Then again I wouldn't be here if it wasn't for all the worksheets and lack of guidance
Fun fact: sir, you have single handedly just saved me 👍 and I can't thank you enough!
Thank you!! I was having trouble with how to factor polynomials with 4 or more monomials. Your explanation was very clear and concise and I found it extremely helpful. Also, In the video when the girl asks about "where the other x-4 went" I wonder if it would have helped her by doing the reverse math by "distributing" the x-4 four back in so, that she could see that you are actually multiplying it by all of the pieces and therefor you haven't actually lost an x-4. I needed that when I too, didn't understand "where the other went" haha Thanks again.
you are very welcome! yes I agree, that is often a hard part of factoring by grouping, would have been a good opportunity to address that there
THANK YOU! I was freaking out, my final is tomorrow and we only saw this last yesterday.
Daniel Gómez perfect! happy to be able to help you out!
Couldn't understand how to find zeroes for the life of me. This was super helpful, I'm glad I found this, even though I'm 12 years late lol.
You have no idea how much you helped. My professor knows how to do the problems, however he can't explain to the class very well.
happy to help you out!
Thank you so much! This really helped me!
dude thank you so much! LIKE THANK YOU!
test in an hour... this was a life saver
wow, great video! I 100% needed this!
my professor teaches this very complicated, the way you teach it makes sense to me. I got the right answer just did it differently.
Great video. I hadn't thought of that way - I just plugged through a quick graph to get an idea of where zero's would be, then found x=4, then long division had the other term. Much more tedious....
happy to be able to help
Very clear solutions 👍👍
I think i need to start watching you Fr cause my teacher doesn’t explain how she got things very well but now watching this I understand and this is way easier than her method thank you!!!
This video helped me so much! Thanks!
Do you have a video for the other direction? I’m trying to find the polynomial given the zeros of -2,1 and 4 with a degree of 4.
Thank you so much. Makes much more sense now !
+Barbecue_chickn awesome! happy to help
found this very helpful thank you
you are very welcome!
Thanks its was very helpful