How do you write the polynomial #p(x)=6x^3+13x^2-4# as a product of linear factors ?

1 Answer
Feb 8, 2015

I would use an algorithm called "Ruffini's Method":
I followed 4 steps:
enter image source here
With this operation and using as starting term #-2# I reduced the order of my polynomial from 3 to 2 (I lost the #-4#):
I use the #-2# term (changing its sign) I started with to build my first linear term: #(x+2)#;
I use the results from all the sums to build the remaining expression: #6x^2+1x-2#.
I now continue:
enter image source here

hope it helps