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Split the second term in 3x^2 - 14x - 24 into two terms
3x^2 + 4x - 18x - 24
Factor out the common terms in the first two term, then in the last two terms;
x(3x + 4) - 6(3x + 4)
Factor out the common term 3x + 4
(3x + 4)(x - 6)