Chapter P - Section P.5 - Factoring Polynomials - Exercise Set - Page 70: 129

To completely factor an expression means to write it as a product of factors, so that none of the factors can be further factored. For example $(2x+4)(x+3)$ is not a complete factorization because we can factor 2 out of the first parentheses: $2(x+2)(x+3)$ is a complete factorization.

Given above.