FASTEST way to factor a trinomial! #shorts

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This is called the "Slide-and-Divide Method" that I learned from my colleague, Prof. Tchertchian!

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The sound affects are what really helped me

joshfriedman
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This really changed my life, I’ve never been so confused 💀

abigalebailey
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I LOVE THIS! Why was I not taught this? So many hours lost to needless trial-and-error factoring and quadratic formulating that I’ll never get back. This is BRILLIANT.

MichaelMaysMusicMinistries
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Literally been tryna figure this out for an hour and a half and this dude came in with a min video and randomly all makes sense💀

natejackson
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another method:
P = 4 (the coefficient in 1st term)
Q = -6 (the coefficient is 3rd term)
P × Q = -24
Try to find 2 numbers when added is equal to the coefficient of the middle term (which is -5) and if multiplied then equal to P × Q (-24)
You can do this by the process of elimination or do this in a calculator which is easier. (Scroll down to see how)
In this case it is -8 and 3 which adds to -5
And -8 x 3 = -24
So. 4x² - 8x + 3x - 6
and then 4x(x-2) 3(x-2)
Last step (x-2)(4x+3) <----[answer]

You can do this in a calculator:
Press mode
Press 5 (EQU)
Press 3 (ax² + bx + c)
Input the coefficient of the terms.(don't forget signs)
Whatever answer you get of x1 and x2. Make their signs opposite so plus minus and minus to plus

gamingwithpurple
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It's a perfect method I have been using it since your 100 Trinomials video came out. Thank you for it!!

SimsHacks
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What. What is this monstrosity. Who figured this out. My brain has completely deflated due to utter confusion.

jessehammer
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Thank you from the bottom of my heart. I've been struggling to understand this all week.

musaic_sings
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I have an undergrad degree in mathematics. I feel cheated that I never learned this! All my future students that I tutor will be thanking you for sharing this!

joeldarr
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SAVED MY LIFE ON THIS QUADRATIC QUESTION MAY THIS CHANNEL GO FAR.

kuariri
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You just explained what took my teacher 2 weeks to explain to my class.

croaxer
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That's called Splitting the Middle Term/Middle Term Break, learned it in 8th Grade, Super useful

abd_sh_
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We were taught this method in our school in 6th grade. Yes I'm Asian 😂

Achilles
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I learned the ac method. You multiply a and c (a is the leading coefficient c is the constant) and find the numbers that add/subtract to the product. Then you put them into a factored group with the leading coefficient and divide by the leading coefficient and then simplify. For example: 3x^2 -4x -15; ac: -45 -9 + 5; 1/3(3x - 9)(3x + 5); (x-3)(3x + 5)

vaderstylegaming
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For a quick reference,

* identify a number that multiplies to a* c (coefficient of x^2 and the constant) and adds to b

* split middle term into the two numbers previously identified

* last, group the 4 terms (factor by setting apart numbers with a greatest common factor) into binomials

NaomiMarshel
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This is such an easy way and has rlly helped me thanks for showing this

loganr
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I love how he builds up hype and all in the end by saying "THIS IS IT!" and then just normally says "done"

aadik
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… this is what i have always needed in my life

soundest
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That is much faster! That was awesome!
I'm going have to use this next time I have to factor. Thank you!

dreivonfunf
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Better way and makes more sense:
Do A times C because quadratics are in the form ax^2 + bx + c
So 4 x 6 = 24
Factors that make up 24 and sum to -5 is -8 and 3, So rewrite original equation as
4x^2 - 8x + 3x - 6
Then factorise
4x(x-2) + 3(x-2)
Factorise again
(4x+3)(x-2)

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