What is the equivalent factored form of 12x4 – 42x3 – 90x2?

Factor out the greatest common factor, 6x²: 12x⁴ − 42x³ − 90x² = 6x²(2x² − 7x − 15). The quadratic factors as (2x + 3)(x − 5), since their product is 2x² − 7x − 15. Therefore the equivalent factored form is 6x²(x − 5)(2x + 3), choice B.

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