Polynomial Graphs Part 2

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Oh my god I had a rough week and watched so much videos and did problems but never got my head around it. Just saw the 2 parts of your videos and finally got it! Thank you so much!

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You're very welcome and thanks for all your support and viewership...but sadly I don't see my smiling face in your subscription list:( Please take the time to like, sub and keep sharing this channel with everyone...BAM!!!

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BAM!!!

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my professor seriously explains everything in such complicated way, I'm glad I found your channel

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I love this dude man. I'm in honers pre calc and we are working on this subject. My teacher tried to explain to me for over 4 hours what I learned successfully in 30. Thanks man.

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BAM!!! Thanks for taking the time to study with us!

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[@profrobbob]

Not if you have not found an example similar to that yet. It is going to be a parabola and you will need to find the x intercepts for the distance the ball was thrown and the vertex for the maximum height. I don't remember what else was asked since my textbook is at school.

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[@elisecao2618]

Finally i get it. This vid helped me so much. I missed my pre-calc class for a day and i had no clue on sketching polynomials stuff. Unfortunately, there are only 2 periods left until my unit test day, i was so worried, but not anymore. Searching for your vids is the best decision to deal with math. Thank you so much sir. THUMBS UP !

[@profrobbob]

Your examples are already in factored form so you can easily find the zeros or x-intercepts. Your zeros for the first example are 0 & 3 and for the second example 0 & -5. To finish you can multiply the factors together to make these look like the other problems you are used to and finish.

[@profrobbob]

Thank you for the compliments...sorry for the delayed response. We approve all comments and I don't know how yours was missed:( I hope you will continue to watch and let me continue to help you lead a less complicated life:)

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Being a matured, yet new college student and not finding math to be my best subject, I have struggled through 2 classes and on my second attempt at PreCal. It is very intimidating and overwhelming for me and I get freaked out by all the jargon thrown at me..however after missing a couple of critical classes I am determined to get through this, hopefully as painless as possible. I have been searching for a tutor that I can get to explain this to me rather than just throw it at me and take my money. I have spent all weekend trying to learn about polynomials, graphs etc etc. I just happened to see your videos and after watching them I feel a new calm coming over me. I really like the way you explain and show several examples and I can watch over and over until I can take all the necessary notes...lol Thank you for giving me hope that I will not let this class be the only one that will ruin my GPA and that I just might learn some of this stuff rather than muddling my way through. Keep up your enthusiasm...it's catching....

[@profrobbob]

Sounds like your on the right road now Lisa Melton and I hope my lessons continue to supply you with the knowledge and calm to get you thru your PreCal class this time around! Thanks for taking the time to share your experience with me and for liking my videos. I hope you will also share my channel and your experience with everyone looking for math help ~ Remind them to like, SUBSCRIBE and share side word of mouth is my only advertising and way to groW my channel:D BAM!!!...Now go get that "A"

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Thank you so much for actually helping students understand advanced functions, unlike high school teachers assigning huge textbook readings that make no sense!

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So am I and THANK YOU for supporting, liking, and subscribing! I look forward to hearing about that passing grade too:)

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And thank YOU for subscribing and supporting!

[@profrobbob]

If you equation is copied correctly the first two terms are like terms and can be combined, then solve the quadratic with the quadratic formula to find any x-intercepts if there are any.

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Your videos have been a life saver for me. Thanks to you, I'm slowly beginning to understand pre-calc 30 finally

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Thanks for producing this amazing video. It has made me to get little clue on how to graph polynomial function. I have been confused over the past two months on this particular topic in class but through your channel it has given me sufficient ideas that I can apply on my exams or quizzes. Thanks for producing this beautiful or helpful channel.

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[@sydvyd27]

Honestly so helpful! I have my honors algebra II test tomorrow and my final next week and now I know how to graph them! No one could explain to me when it touches or crosses, thank you so much!

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Omg same here! I had to attend a funeral for my grandmother and missed this lesson... Your are a lifesaver profrobbob! I learned it all in a matter of minutes :D

[@profrobbob]

Then you need to solve it using the quadratic formula if it is a second degree, or by making a list of possible rational zeros and try finding one of the rational zeros (if there are any) with synthetic division working the polynomial down until it is a second degree. Are you sure you can't factor your problem by factor by grouping?

[@federicaferrari127]

This is so much more simple than what my teacher made it out to be!! I really like this now that I understand it. Thank you loads!

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You're welcome Federica Ferrari and thanks for choosing my channel to watch, like and learn from...please don't forget to subscribe and tell all your friends, class and teachers where to find these additional study videos:D

[@profrobbob]

I son't have a video for just the intereidiate value theorem. I mention it in my videos about Rolle's Theorem. Are you just using it to determine if there is an x intercept in a closed interval? If so, if f(-5) and f(-4) have different signs there is an x intercept within that closed interval...if the answers have the same sign there is not. This is assuming your function is continuous on that closed interval. Your example is polynomial so it is continuous.

[@profrobbob]

I divided one (x+3) out of each term, not two of them. I have a video reviewing factoring by grouping if you would like to watch it. If you factor an x out of 2x+3xy it is not x^2(2+3y).

[@profrobbob]

Then the graph passes through the origin:) Don't forget to check the multiplicity of each of those zeros to see if the graph touches there or passes through. I hope I answered your question.

[@shaazsyed]

Taking a test on this stuff tomorrow and your videos have saved the day once again! First in geometry and now in algebra 2. Thanks sooo much.

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+Shaaz Syed BAM!!! ...and thank you for your continued support!

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Dude, I have to say you have to replace my garbage algebra 2 teacher, she DOES NOT know hot to teach and many people agree with me, not just because I don't get good grades in her class. What you teach in a half hour she can't even barely teach me in a week, thanks man.

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You're welcome. I'm glad you have found my videos and teaching style so helpful and it sounds like you should share my channel with the rest of your class…even your teacher. I have a lot of teachers who have their students use my videos to help with homework or answer questions after school hours. It's like having your own FREE Math Tutor!

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LOL again...good to see that you completed the lesson too:) You make a teacher PROUD!!!

[@profrobbob]

Start finding your zeros by factoring by grouping. Factor an x^2 out of the first two terms and -4 out of the last two terms. Then finish your factoring by grouping getting (x^2-4)(x-2). x^2-4 can be factored again. Hope this helps you start your question.

[@profrobbob]

Some Algebra 2 books don't include problems that are difficult enough to require this extra step, but my PreCalculus class does. If they give you all the zeros and the degree and that is it...no...but if you are given an extra point the graph goes through then yes. Have you watched "Linear Factorization Theorem"?

[@ivrisdonahue2741]

thank you so much for this!!! my teacher is brilliant but I do not click with his way of teaching, my brain works differently, and this video really helped me make sense of polynomials. I think I have a shot at my test coming up! amazing!

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sir your the bes... the most down to earth explaination of polynomial graph.... wish all prof are like you and not just talk to the chalkboard and saying " hey look at me im good at math blah blah blah..".... thanks prof rob

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[@fhockey9932]

oh my gosh thank you so much! This finally makes sense, the multiplicity helped me the most, thank you for making this!

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[@georgesadler7830]

Professor RobBob, thank you for another terrific video/lecture on Polynomial Graphs Part 2. These are great examples that improve my knowledge of Graphing by hand and with a Graphing Calculator.

[@profrobbob]

Now Closed Captioned

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*Not all heroes wear capes* ☺️

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u did a better job teaching this in 15 mins. than my teacher did in a week!!!! thank you so much!!!

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You are so welcome..and THANKS for watching, liking and subscribing, sounds like you should share my channel with your classmates too:)

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[@profrobbob]

You're welcome ***** thanks for seeking extra help and for choosing my channel to learn from and then taking the time to "thank the teacher" ...BAM!!! Glad to hear they helped!

[@profrobbob]

I will do a couple more examples this coming Tuesday or Wednesday:)

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Well THANK YOU! Looks like a beautiful school...does that mean you've been out of school for a bit? I'm happy to hear that my videos are helping you get your momentum back:)

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[@profrobbob]

You're welcome...good to see you found part 2:)

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[@deborahfranza2925]

Wait, at 5:51 you talk about how you need Calculus and some more advanced techniques to find the vertex of a polynomial function. However can't you find the x coordinate for the vertex of a polynomial simply by using -b/2a, and then plugging that result back into the x values of the function to find the y coordinate of the vertex?

[@profrobbob]

Only if your polynomial is a second degree meaning it is a parabola.

[@deborahfranza2925]

ProfRobBob thank you for replying so quickly! That makes sense.

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[@profrobbob]

I feel it this time...you're going to do great on that final Violet Soria ! I just replied to your other comment and wish you were one of my classroom students so I could help you:) Let me know when you pass!!!!!

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[@profrobbob]

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And thanks for choosing my channel to watch!

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your videos are excellent and your excellence lies in simplifying complicated stuff.

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Thanks for showing your support and subscribing:) Glad to hear these videos helped you with your missed lessons...that's why you should get your math department to include my videos on your school website for FREE math help!...you could share your story with them and make that suggestion, what do you think?! Any help to share my videos with others and grow my channel is appreciated:D

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Khadra Ali you're welcome and THANK YOU for being an involved parent:)

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You're welcome…sounds like you could give my channel info to your teacher and then he/she could just refer my channel to all the students:D Thanks for watching!

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ok. That was driving me crazy! I just watched that video you pointed out. It explains everything! Thanks for the help! You're a great teacher! BAM!

[@akro286]

This really helped a lot! I have taken this before but not with the simplicity u used! thank you very much

[@Wakaanmami]

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[@zakalberda6618]

wouldn't the 0=4(x+2)(x-1)^2 continue to factor out as 0=4(x+2)(x-1)(x+1)? then the 1, and -1 would be powers of 1 and it would go through the points? just curious. Thanks! starts at 9:20

[@profrobbob]

+Zachary Alberda (x-1)^2 is (x-1)(x-1). When you distribute these together the answer is x^2-2x+1. If you distribute (x-1)(x+1) you have x^2+1x-1x-1 or x^2-1. Since the two expanded answers are not equal you can see that (x-1)^2 does not factor to (x-1)(x+1). I hope I cleared up your confusion. Thank you for watching:)

[@profrobbob]

I just want you to work hard by keeping your grades up and finish school. Than go to college and do the same... (all while watching my videos of course) and let me know when you make it big! Thanks for watching my channel...and please share my channel with all your friends and help me groW!

[@eslamgamal2907]

this was the most simplified video on polynomial function i've ever seen thank u so much. i hope u do more examples

[@profrobbob]

Thank you. I have almost 600 video you can search on my channel's homepage or find them organized here www.profrobbob.com I am currently working on Close Captioning my current videos which is why are not seeing any new one posted right now.

[@profrobbob]

Thank you for watching and the nice comment:) It helps to keep me motivated!

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[@profrobbob]

And THANK YOU for supporting by subscribing! Please share with your friends and tell them to show their support by liking and subscribing too:)

[@profrobbob]

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[@profrobbob]

The factor of (x+3) factors out and thus there is only one factor of (x+3). If you factor x out of 2xy+3x you get x(2y+3)...not x^2(2y+3) Thank you for watching. I hope this cleared up your question:)

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[@profrobbob]

You're welcome and please take the time to like, sub and share this channel with everyone...especially your teachers...BAM!!!

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[@profrobbob]

thanks...good to see you watching more videos:)

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