Answer:
(x - 1) (x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Factor the following:
x^4 + 2 x^3 - 7 x^2 - 8 x + 12
The possible rational roots of x^4 + 2 x^3 - 7 x^2 - 8 x + 12 are x = ± 1, x = ± 2, x = ± 3, x = ± 4, x = ± 6, x = ± 12. Of these, x = 1, x = 2, x = -2 and x = -3 are roots. This gives x - 1, x - 2, x + 2 and x + 3 as all factors:
Answer: (x - 1) (x - 2) (x + 2) (x + 3)
