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 ?

Group the terms: (3x⁵ − 7x⁴) + (6x² − 14x) = x⁴(3x − 7) + 2x(3x − 7). Factor out the common binomial to get (x⁴ + 2x)(3x − 7), then factor x from x⁴ + 2x. The completely factored form is x(x³ + 2)(3x − 7), which is choice C.

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