What is the Factor Theorem Exactly? (Example) #shorts

Just what is the factor theorem exactly? Well, in this short video I will walk you through the factor theorem using an example so that you can understand how to factor a polynomial using the factor theorem.

The factor theorem allows us to factor polynomials by finding factors that make the function equal to zero. We need to substitute in factors of the constant term of the polynomial function until we get zero. This tells us a binomial that the polynomial is factorable by!

From this point you can apply synthetic division or polynomial long division to factor the polynomial fully!

#shorts

[jostaaaa]

this is so concise and easy to understand, you really saved me 😭 thanks !

[samanvi]

How he solved this:
He put 1 in the place of x, so
F(x)= x³+2x²-x-2. Becomes
F(1) = 1³+2x1²-1-2
=1+2x1-1-2
=1+2-1-2
=3-1-2
=3-1-2
=2-2
= 0

[Gogetablue-pb]

Hope this will be helpful to some extent, i already have studied the chapter just wanted a quick recap. I'm from India and going to be giving my final math's board exam tomorrow.

[Crimsonlionking]

This is my 10th video you really explained this too simply. Why didn't I get recommended this video sooner😭🙏

[suryatejacv]

If the coefficients a+b+c+d=0 then x-1 is a factor.

[emmancrafts]

So is a root basically the same as a factor in this sense?

[arnavraheja]

i think this is not factor theorum it is rational root theorum i think