Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

By the factor theorem, 2x − 7 is a factor if f(7/2) = 0. Substituting x = 7/2 gives 6(7/2)^4 − 21(7/2)^3 − 4(7/2)^2 + 24(7/2) − 35 = 0. Therefore, 2x − 7 is a factor.

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