Answer:
(3 x + 4) (x - 1) (x + 3)
Step-by-step explanation:
Factor the following:
3 x^3 + 10 x^2 - x - 12
The possible rational roots of 3 x^3 + 10 x^2 - x - 12 are x = ± 1/3, x = ± 2/3, x = ± 4/3, x = ± 1, x = ± 2, x = ± 3, x = ± 4, x = ± 6, x = ± 12. Of these, x = -4/3, x = 1 and x = -3 are roots. This gives 3 x + 4, x - 1 and x + 3 as all factors:
Answer: (3 x + 4) (x - 1) (x + 3)
