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Factorization of the trinomial
3x^3 +6x^2 -24x
will be :-
taking common 3x
=>3x(x^2+2x-12)......1️⃣
now the factorization of (x^2+2x-12) will be
(x-2)(x+4).......2️⃣
so your answer from 1️⃣and 2️⃣ is (A) 3x(x-2)(x+4).
Hope it helped you.