Which product of prime polynomials is equivalent to 8x4 + 36x3 – 72x2?

Factor out the greatest common factor, 4x²: 8x⁴ + 36x³ − 72x² = 4x²(2x² + 9x − 18). The quadratic factors as (2x − 3)(x + 6), since their product is 2x² + 9x − 18. Therefore the product is 4x²(2x − 3)(x + 6), choice B.

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