Master - How to find the zeros of a polynomial function by factoring and determine multiplicity
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- čas přidán 19. 06. 2024
- 👉 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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watching your channel has taught me more than my actual teacher. Thank you
Right school is so pointless
The honest truth....
Clear instructions without shortcuts, finally! Thank you!! Now I just need to practice these and see if I get the same answers...
keep working hard, happy to be able to help you out!
You're the best in math!😊thank so much! I I was confused but now I understand😍
thank you SO much for covering practice problems!
Your videos are the biggest help to understand math problems. Thanks Mr McLogan.
you are very welcome Tina!!
YES! Thank you so much! I learned so much after watching this video! Now I can answer my dads math questions!!!
number one Brian best teacher
Thanks soooo much Ive been so frustrated because I couldnt find any videos explaining what I needed help with. Now I think i understand. Thanks again!
Your videos are great, it's the enthusiasm!!! Thank you!
Thank you for this educational
content 🤎
From Egypt 🦅🖤
This was super helpful! thank you.
i love your videos! they save me in math!!
so happy to be able to help you out! keep up the hard work
So helpful. Your great, thanks!
thank you! im going to download this video. Helped me a lot
awesome, happy to be able to help you out!
Really good format wasnt finding what i needed until this video
So happy to help!!
Tq so much !! Was very easy to learn it quickly n helped me a lot in Math..tq once again👍👊
Thanks for your work. I didn't get the same answer solving the following example:
f(x)=-2x^4 - 2x^3
-2x^3 (x + 1) = 0
x_{1, 2, 3} = 0, x_4 = -1
helped me a lot to understand ...
great! happy to be able to help
Very helpful, thank you👍
you are most welcome!
Thank you very much. You are so fantastic
a concern with example 7, if you factored out -2x^3 then shouldn't 1 be positive? -2x^3(x + 1), you will still distribute it inside so if the sign of '1' is wrong, then the whole eqaution would be kinda off. just my opinion. please do explain, if anyone would care to :))
Thank you so muuuuuuuch❤️
Thank you!
How would I find the zeroes of a polynomial that can't be grouped like the ones in this video?
Yeah, I wish he had picked some out that were more complex. A lot of these seemed more straightforward than the ones I'm actually having to learn to do.
My teachers for 2 years teached me to make those equations on calculator modes
Thx got it in the first 3 min very helpfull
perfect! happy to help
Thank u, be our math teacher
Help a lot👍
THANK YOU SO MUCH!
you are very welcome!
I don't know why I find all so hard to solve but I was here for the quadratic and cubic one ur way to solve is easy all I'm gonna do is more practice then I will be easily able to verify the zeroes and finish my ch 😮💨❤️❤️ anyways lots of love sir 🤗
For the firs and second questions, since each one is odd, does that mean it crosses the x-axis once?
yes if the function has an odd degree it must cross the x-axis at least once
math god! love your videos
thanks!
what about the ones that dont start with f(x)?
You're awesome man
haha probably
thank yoooou！
I do have a question sir?!...what is the important of knowing that if the numbers are even or odd ? Is is because it tell us the way that it is going to across the x-axis ? If it was curved or straight....thanks
do you mean the multiplicity? then yes even or odd tells the behavior
omg thank you sooooooooooo much!!!!!!
you are very welcome!
OOOOOh thank uuuuuuuu!
In the 5th problem, is x= squ rt -3 and x= squ rt 2 real zeros or no? Why are some rt answers real zeros and some are not? Like x= cubed rt -5?
you are the reason i can pass trig
Awesome video! Thank you for taking the time :)
you are very welcome! happy to help
I appreciate the help! But sir, you seem out of breath! Don't be in a rush or nervous. Thanks!
haha thank you, not sure why I am like that for this video, glad it helped though
W video.
You saved me omg
happy to help
can u do it with more space plssssssssss
it so nice to help us but you can you say polynomial of long division
You want a video showing how to find the zeros using long division?
wait how x =x^2 how how ??????? if x is 2 means 2 =2^2 so but 2 != 4 ?
couldnt you have gotten i sqrt2 for the square root of -2
Everyone praises Sal Khan for his smarts, but I understood this concept better on here than on Khan Academy. Thanks!
NO BRIAN IS BETTER
x^3-2x^2+4x-3
not factorable across real rational numbers, look to graph it
Its kinda difficult to understand, due to teachers having they’re own method of teaching, i cant catch up to this guy.
I would say the more teachers you can watch explaining the same thing then the better.
True! I would say avoid watching so many to prevent confusion. I hope you managed to pass
That third one made no sense when you changed that x^4 to x^2. Wish you'd been a bit more thorough on that. I understood the rest.
a tip, what i would do is completely substitute a single variable. since there are both x^4 and x^2 in the eq, i could take the x^2 (since it is the somehow common factor) and substitute it into a different letter. like this:
x^4 + 4x^2 + 4 = 0
Legend: x^2 = a
(x^2)^2 + 4(x^2) + 4 = 0
then substitute,
a^2 + 4a + 4 = 0
and continue on with what he does, i don't know if this is more confusing but it's just what i do. have a nice day :))
Can you please tell us slow
Sorry, sometimes I get excited and talk really fast
you look healthier here
2020?
Why does the school system even teach us this? Most of us will never use factoring in our entire life. This is a waste of precious time.
I guess to test your ability to understand and maybe solve irl problems in the future idk I’m getting bored
I think I'll try brain surgery instead... 🙃
👀👀👀
zero is an even number
correct
Hallo I am Indian...
And you???
Top right one is wrong, the square root of 2, and the negative square root 2, with a multiplicity of 2 is the answer.
it is the square root of -2 so not real root
Pliz teach slowly
Sir can u speak hindi
u laugh so much rather than solve the doubts
hmmmm interesting
Jesus Christ is coming soon, God is telling y'all to repent from your sins and live a life for him so you wont get left behind when he comes back and take his people.
We are here for maths man😂😂
Out of lesson
Omg. 🤢