Which expression is a factor of 12x2 + 29x – 8?

To factor 12x² + 29x − 8, find two numbers whose product is 12 × (−8) = −96 and whose sum is 29: 32 and −3. Split the middle term and factor by grouping: 12x² + 32x − 3x − 8 = 4x(3x + 8) − 1(3x + 8) = (4x − 1)(3x + 8). Therefore, 3x + 8 is a factor, which is choice C.

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