Which product of prime polynomials is equivalent to 36 x cubed minus 15 x squared minus 6 x ?

First factor out the greatest common factor, 3x: 36x³ − 15x² − 6x = 3x(12x² − 5x − 2). Factor the quadratic by splitting its middle term: 12x² − 5x − 2 = (3x − 2)(4x + 1). Thus the factorization is 3x(3x − 2)(4x + 1), which is choice B.

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