The Factor Theorem Explained with an Example
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- Опубліковано 16 лют 2022
- If you are looking to see the factor theorem explained with an example, this is the video for you! With the factor theorem, polynomials are factorable by finding factors that make the function equal to zero.
The first question you have to ask is what is the polynomial divisible by. To answer this, start by subbing in factors of the constant term of the polynomial function. When you get zero, you have found a binomial that is a factor of the polynomial.
Once a factor is found, polynomial long division or synthetic division can be applied to fully factor the polynomial.
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A couple corrections! -2 and -3 also make the function equal to zero. Also, the final factored expression should have x+3 instead of x-3. I guess I rushed this one!
Hi bro
Hope the exam went well!
@@MathByThePixel nah bad i got '21 marks for 100' my maths teacher use to advice me 2hr 27mins
Got it now , but I still don't understand the last step...😅
@@vrtk02 glad to hear! The last step is just trinomial factoring. Check out this full explanation for that process: Trinomial Factoring
ua-cam.com/video/Z38aF9Jb87w/v-deo.html
this is awesome! sometimes i just need a quick refresher instead of a 30 minute long lecture, and this did the trick! Thanks
Shorts are handy for that aren’t they!
Same
thank you it was very helpful.
Glad to hear that! Happy factoring!
Thank u i was crying so hard over it and now after seeing this made my day
Happy to help!
Howdy friend, would just like to say:
The ratio between the 2nd and 1st term is the same as the ratio between the 4th and 3rd term implying that you can factorising by grouping.
That's certainly a strategy!
Omg thank you so much U needed so much help with this . Ur an absolute legend❤
So glad to hear that it helped! Happy factoring my friend!
Thanks dude
Hope this one helps!
OMGGG I FINALLY UNDERSTOOOD
Fantastic news! Happy factoring!
Bro ur awesome I just spent 3 hour didn't understand but u did it just a minute thanks bro❤❤❤❤❤❤❤❤
Happy to help my friend! 👍🔥
Thanks a lot man
Anytime! Hope this one helps!
Thank god !!!!!!! ❤️❤️😭❤️😭
Hope it helps!
Thank you so much
You are so very welcome!
wow bro, you made this so eay
Sometimes all you need is 60 seconds!
THANK YOU I LOVE YOU
Happy to help!
Man i was stuck on it for 2 weeks thanks
Btw love from India
Happy to help! Thanks! I love your country!
this factor theorem thing is very hard
Let me know how I can help!
thanks a lot, can you please explain why and how the factor theorem works.. i dont understand how it works
Glad it helped! I have a video on the Factor Theorem. Check it out!
the guy who discovers this is a chad
I gotchu.
Thanks your amazing
Happy to help!
U could use long division instead of synthetic right?
Always. I just use synthetic because it’s way faster and I make less mistakes!
Quick question does ur way of dividing work with Quartic polynomials too
Sure does! It should work for any factorable polynomial!
YOU'RE A G O A T
🐐 🙏
Wait I’m confused for 18 you only used factors +-1 2 and 3 but u didn’t use +-6 or 18. Or is that because 3 solves it
Correct. You really only have to find a number that makes the polynomial zero. There is no need to test or find all of the factors up front.
@@MathByThePixel ok thank you
W explained
Thanks Dr Friday!
U got urself a subscriber :>
Welcome to the party! 🤓👍🔥🙏
I didn't get can u make a precise form
Check out this video for more detail! ua-cam.com/video/hZ149AU2r7E/v-deo.html
🐐🐐
🔥
-2 is also a value of x
Yes it is. See pinned comment!
From where the 15 came
You get that from multiplying the 5 by the 3.
what if its there in fraction
Can you give me an example?
According to me factors are( x²-9) (x+2)
See pinned comment. Even math teachers make mistakes. Growth mindset fam.
Lit this is so easier that long div
Right? It takes some practice, but once you get it you will never go back.
so x-3 is the same as x=3?
If x=3 makes the polynomial equal to zero, we can say that x-3 is a factor. This is the same x=3 that we use in the synthetic division table. Does this clear it up?
yea
Yes because x-3=0 means x=3 they don’t always include the zero but if it doesn’t then that’s it
Im still confused at the bottom
The Q(x) part explain that pls
(Thats my teacher taught)
And this under Q(x) ( •.• )
That last step is just trinomial factoring. There is actually an error in the last step though It should be (x-3)(x+2)(x+3)
What sorcery is this
it's called MATHEMAGIC! 🤘
Wait what this is synthetic devision :0
The short version: it is dark side magic.
The slightly longer version: ua-cam.com/users/shortsONlGhHRLNug.
And the full length version: ua-cam.com/video/GECqETPDU4I/v-deo.html
And an example: ua-cam.com/users/shortskO6WKyDn7ek
the answer is incorrect
See pinned comment!
But i better understand in Hindi language
Sorry I’m still working on closed captions for shorts!