Which are the prime factors of the polynomial 24x4 – 3x? Check all that apply. 2x3x(4x2 + 1)(2x – 1)(x – 1)(4x2 + 2x + 1)(2x2 – 2x + 1)

Factor out the greatest common factor, 3x: 24x⁴ − 3x = 3x(8x³ − 1). Use the difference-of-cubes rule, a³ − b³ = (a − b)(a² + ab + b²), to factor 8x³ − 1 = (2x − 1)(4x² + 2x + 1). Thus the listed prime factors are 3x, (2x − 1), and (4x² + 2x + 1).

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