What is the completely factored form of 3 x to the 5th power minus 7 x to the 4th power plus 6 x squared minus 14 x ?

First factor out the common factor x: 3x⁵ − 7x⁴ + 6x² − 14x = x(3x⁴ − 7x³ + 6x − 14). Group the terms inside: x³(3x − 7) + 2(3x − 7) = (3x − 7)(x³ + 2). Thus the completely factored form is x(x³ + 2)(3x − 7), which is choice C.

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