What is the complete factorization of the polynomial below? X^3+3x^2-x-3

(x + 3) (x + 1) (x - 1)

Step-by-step explanation:

Given

x³ + 3x² - x - 3

Factor the first/second and third/fourth terms

= x² (x + 3) - 1 (x + 3) ← factor out (x + 3) from each term

= (x + 3) (x² - 1) ← (x² - 1) is a difference of squares, hence

= (x + 3) (x + 1) (x - 1) ← in factored form