Almost everything you ever wanted to know about factoring is contained within these precious fifty or so slides (give or take 10 slides or so).

Algebra II 7 (D) determine the linear factors of a polynomial function of degree three and of degree four using algebraic methods

Algebra II 7 (E) determine linear and quadratic factors of a polynomial expression of degree three and of degree four, including factoring the sum and difference of two cubes and factoring by grouping