how do you simplify a cubed variable?

Question

ex. 3x^3+27x

 

thank you for any help

Answer 1

The first thing you should do when factoring any polynomial expression is to factor out any monomial common to all terms, in this case 3x.

 

(3x) (x²+9)

 

In the realm of reals this expression is irreducible.

 

In complex numbers it can be further reduced to:

 

(3x) (x+3i)(x-3i)