Which product of prime polynomials is equivalent to 30x3 – 5x2 – 60x?

Factor out the greatest common factor, 5x: 30x³ − 5x² − 60x = 5x(6x² − x − 12). The quadratic factors as (2x − 3)(3x + 4), since their product is 6x² − x − 12. Therefore, the matching product is choice C, 5x(2x − 3)(3x + 4).

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