What is the quotient of open paren 3 x to the 4th power minus 4 x squared plus 8 x minus 1 close paren divided by open paren x minus 2 close paren ?

Divide by x − 2 using synthetic division with 2. Starting with coefficients 3, 0, −4, 8, −1 gives quotient coefficients 3, 6, 8, 24 and remainder 47. Therefore, the result is 3x³ + 6x² + 8x + 24 + 47/(x − 2), which is choice A.

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