How to Determine the Multiplicity and Zeros of a Polynomial

Рет қаралды 221,832

11 жыл бұрын

👉 Learn how to find all the zeros of a polynomial. 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, we first equate the polynomial to 0 and then use our knowledge of techniques of factoring polynomials to factor the polynomial. After we have factored the polynomial, we can then 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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Пікірлер: 74

@yellowmellow7931 3 жыл бұрын

I know I'm screwed when not even you can teach me

@asadrahim8143 3 жыл бұрын

@UglyStru 3 жыл бұрын

facts, at this point i'm doomed

@usonianassembly3962 3 жыл бұрын

doo doo fart

@gisselle3367 2 жыл бұрын

LOL literally same i luv brian mc logan but i am confused af rn

@kevinstubbs2960 Жыл бұрын

Fr he didn’t explain it that we tho he didn’t really break it down on how to get the squares and how to factor them I have a test tmw 😭😭😭😭 pls someone prey for me

@Zach-lv5qs 3 жыл бұрын

The amount of stuff you gotta remember in PreCalculus is fooking bonkers. I feel like every problem deserves its own textbook.

@samuelguy9744 5 жыл бұрын

I’m so going to fail my midterm this month 🤦‍♂️

@kelpshake7382 3 жыл бұрын

I know I'm late but I'm literally watching this video in the middle of my midterm 😭✋

@Arwickxl 3 жыл бұрын

@@kelpshake7382 did you pass?

@kelpshake7382 3 жыл бұрын

@@Arwickxl no, I was off by 1% -_-

@alexisaponte2283 3 жыл бұрын

this man teaches me more than my actual teacher

@yahgent Жыл бұрын

You listen more to this guy than you do to your teacher*

@dallaspeck8162 Жыл бұрын

@@yahgent nope not at all, teachers are prepaid. Some do the best they can but many teachers are horrible and couldn't care less about actually teaching the kids. Shoving problems in our face with nothing to learn from, KZfaqrs need to make thier video well understable, easy to learn and grasp. The better they teach the more popular/ money they make. These vids teach more them hours of lecture

@joebalian156 5 жыл бұрын

Well that's simpler than I expected... I couldn't find multiplicity in my math book but a problem set said to find the multiplicity, so I came here. Thanks for making sense of it!

@brianmclogan 5 жыл бұрын

you are very welcome

@brianmclogan 10 жыл бұрын

Thank you, depending on the class and how many times I have gone over a problem I will explain multiplicity differently and at different paces. I have other videos where I spend a long time explaining multiplicity but this video was probably a review problem for my students so I did not dive deep into the explanation

@brianmclogan 10 жыл бұрын

no worries, you are completely right and I do make videos that are introductory and advanced now, but this was a video from my classroom so it was just tailored to their needs that day.

@prettyyounglee 4 жыл бұрын

I loved the video. It was taught in a way I understand.

@OverusedExpression 4 ай бұрын

Can we talk about the chaotic evil that is the marker tray for a sec? Sooo many markers with the wrong lids on...

@xaviertr6240 9 ай бұрын

Everytime I see Brian's videos I know I will understand

@mike79812 4 ай бұрын

Watching these vidoes is what keeps me from failing my math class, THANK YOU

@brunoharari6454 7 жыл бұрын

Thanks!! You should upload more videos! They are so helpful.

@brianmclogan 7 жыл бұрын

9000 isn't enough? haha yes still uploading

@syedmdabid7191 3 жыл бұрын

It is a polynomial of degree 5,order 3,rank 1 and p. number 0. Ans.

@Benth3rdoneth4t 8 жыл бұрын

Taking a test today. This helped refresh my memory. Thanks!

@brianmclogan 8 жыл бұрын

+BenTh3reDoneThat you are very welcome! good luck

@stella4380 Жыл бұрын

Can functions have no multiplicity

@rebeccamatist7036 3 жыл бұрын

seriously...can this guy come teach my college elementary functions class? its remote...

@artsy.humanbeing2973 3 жыл бұрын

Let's ignore the fact that I'm watching this while taking an online math test

@theusername1065 3 жыл бұрын

Same😂

@asiaquispe7668 9 ай бұрын

How was yalls test?

@asiaquispe7668 9 ай бұрын

I may be 2 yrs late but i gotta know 😤😤😤😤

@brianmclogan 4 ай бұрын

@@asiaquispe7668 yeah come on we gotta know

@jessicawu6121 3 жыл бұрын

hey quick question but what does the multiplicity actually do?

@jackmcmanus1238 2 жыл бұрын

it determines if the function crosses or just touches the x axis at a certain zero. even touches and goes back, odd crosses

@Trendyrapslut 4 жыл бұрын

soo m=3?

@shadowfire04 5 жыл бұрын

this is very good than k u

@CallMeMargo 6 жыл бұрын

Bless you for explaining this oh my gosh

@brianmclogan 6 жыл бұрын

happy to help

@_.angellopez 2 жыл бұрын

Man I have a final tomorrow that’s 30 questions and I’m scared I won’t graduate if I fail it. 😭

@stephanierudisill2944 9 жыл бұрын

I am so confused

@brianmclogan 9 жыл бұрын

+Stephanie Rudisill do you have a specific question I can answer that will help you?

@stephanierudisill2944 9 жыл бұрын

Yes I'm trying to get the multiplicity and end behavior of a problem like this: (x-3)^2(4x-x) I keep getting it's crossing and touching at 3 and that 3 has two different multiplicities. Just really confused.

@brianmclogan 9 жыл бұрын

based on what you wrote when determining multiplicity you have to have your factors in linear form(meaning inside the parenthesis the power of each variable is 1) The power of the factor is the multiplicity. By rewriting your polynomial I obtain x(4-x)(x-3)^2

@brianmclogan 9 жыл бұрын

therefore your zeros will be 0,4,and 3 with multiplicities 1,1,and 2 respectively. For odd multiplicities the graph will cross, for even multiplicities the graph will bounce. Did that help at all?

@stephanierudisill2944 9 жыл бұрын

+Mr. McLogan's Math Channel yes thank you