please elaborate on how to find the zeroes of a cubic polynomial by splitting the middle term.

I've understood how to do so with quadratic polynomials but I really dont know where to start with the cubic ones. thanks.

Hi!

Here is the answer to your query.

 

Cubic polynomials cannot be factorized by splitting the middle term. Quadratic polynomials can be factorized by splitting the middle term.

A cubic polynomial can have a maximum of three linear factors. To factorize a cubic polynomial, we first find a factor by hit and trial method or using factor theorem and reduce it into the product of a quadratic polynomial and a linear polynomial. The quadratic polynomial can then be factorized in linear factors.

 

 

 

Cheers!