Factor and Solve Cubic Equations in Less Than One Minute! - Super Simple Trick

[andrii]

Thank you so much!! Cubic equations like "x^3-7x+6" is very rare. Luckily, I found it here so your video helped me a lot. Thanks again LOL!

[andrewhealey]

I hate to be the one that makes a negative comment but this method does not work. All these examples just happen to be examples where the coefficient's add up to 0 (a+b+c+d=0) so x=1 will always be a solution. this method does NOT work because you could very easily change the leading coefficient to anything other than 1 and the 3rd term ( the 'x' term) to anything other than what is given in the examples and this method will fail outright. This method may look like it "works" for very specific Cubic's but it is not a tool I would recommend learning as it will fail for almost all other Cubic's. For example, try 3x^3 + 11x^2 - 25x + 13=0 . If you follow the same rules given in this video you will get the same factors but you get completely wrong solutions!!

[sakthishridevis]

I watched around six videos today on solving cubic equations, best one so far. thanks a million!

[Jonathan-vxxi]

simple, elegant...why isn't this being taught as the norm?? thank you

[doctorjacksonville]

Only works if the product of the two constant in two binomial roots + the sum of the two constant in two binomial roots multiplied to the constant of the third binomial root is equal to the coefficient with the linear variable x.

(x + a) (x + b) (x + c)
= [a + b] [c] + [a x b]

Otherwise, a different answer would pop out, which is most probably irrational or imaginary.

[yuvamaths]

Really fantastic method of solving cubic polynomials. Very easy and time saving method too.
Thanks a lot for sharing this type of shortcut methods sir.

[bahugunaswarnim]

It's like now every expert mathematics teacher is Indian🥰🥰🥰🥰

[ayushpratapsingh]

This is the best method of solving cubic equation i found on youtube. Thanks!

[xavier]

Sir pls tell in comment section that how to factorize this one through this method
Question) x³+3x²+3x-7
Pls tell

[timeonly]

These cubics all have 1 has a root (since sum of all coefficients = 0). Thx to your channel, a couple others, I always check +/-1 (if sum[coeffs of odd-power terms] = sum[coeffs of even-power terms, then -1 is a root). Using synthetic div to get the quotient quadratic... which can be factored using inspection, grouping, or quadratic formula to get remaining roots.

[sleepeasyguitar]

This is one of the most helpful methods I've ever learnt. Thank you!

[pranavnarware]

before seeing this video, i was also thinking about the relation between constant and any other number, but i also couldn't find the relation. Finally i see your video and understand much better

[anuradha]

What a beauty man i love this method! Waiting to show off to my friends!

[Amansingh_]

Thank you sir
Your video is very helpful for me in solving cubic equations

[bryanjohnson]

What about when the coefficient for the cubic expression is something other than +1?

[ritubes]

O God unbelievable thanks a
Finally found exactly relatable vedio♥️♥️🙏🙏💐💐

[JulesMoyaert_photo]

I wish I had been taught this method in college!!! SUBSCRIBED!

[isaaccoleman]

thankyou so much this an immense help with exams around the corner especilly

[dannykasangili]

Thank you very much you 've helped me.i didn't know that cubic function is this simple

[joeynatividad]

OMG TYSM NOW IT'S A LOT EASIER FOR ME TO ANSWER NOW