Louise begins factoring the polynomial, which has four terms.8x3+24x2+10x+302(4x3+12x2+5x+15)2[4x2(x+3)+5(x+3)]

Both terms inside the brackets contain the factor (x + 3): 4x²(x + 3) + 5(x + 3) = (4x² + 5)(x + 3). Keeping the outside factor of 2 gives 2(4x² + 5)(x + 3), which is choice C.

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