Final answer:
The factors of the polynomial x³+8x²+19x+12 can be found using synthetic division, factoring by grouping, or using the Rational Root Theorem to test potential rational roots such as ± 1, ± 2, ± 3, ± 4, ± 6, or ± 12.
Step-by-step explanation:
To find the factors of the polynomial x³+8x²+19x+12, we can use various methods such as synthetic division, factoring by grouping, or finding rational roots using the Rational Root Theorem. Unfortunately, without knowing more information about the polynomial, such as the context in which it is presented or any factors it may have in common with other expressions, we cannot provide a specific factorization. However, we can say that the process of finding factors would involve checking for potential rational roots, such as ± 1, ± 2, ± 3, ± 4, ± 6, or ± 12, and then using synthetic division or long division to test these roots. If any of these numbers is indeed a root, it means that (x - the root) is a factor of the polynomial.