Final answer:
To find the product of (2x² + 4x - 2) and (x+6), we multiply each term in the first expression by each term in the second expression and combine like terms. The correct answer is 6x³ + 12x² + 24x - 12.
Step-by-step explanation:
To find the product of (2x² + 4x - 2) and (x+6), we can use the distributive property. We multiply each term in the first expression by each term in the second expression and combine like terms:
(2x² + 4x - 2)(x+6) = 2x³ + 12x² + 4x² + 24x - 2x - 12 = 2x³ + 16x² + 22x - 12
Therefore, the correct answer is option A. 6x³ + 12x² + 24x - 12.