Solve with difference of two cubes, find all the zeros, linear factors

The video tutorial explains the process of factoring the difference and sum of cubes using specific formulas. It covers finding zeros of cubic equations by taking cube roots and applying the quadratic formula for non-factorable equations. The tutorial also demonstrates simplifying radicals and finding imaginary zeros, followed by writing linear factorization from the zeros. A practice problem is provided to reinforce the concepts.

What does it mean if a polynomial is non-factorable?

How can you simplify the expression involving square roots in the context of this lesson?

What are the linear factorizations derived from the zeros found in the polynomial?