Question

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

Answer 1

I would use an algorithm called "Ruffini's Method":
I followed 4 steps:

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:

hope it helps