If f of negative 2 is equal to 0 , what are all the factors of the function f of x is equal to x cubed minus 2 x squared minus 68 x minus 120 ? Use the Remainder Theorem.

By the Remainder Theorem, f(-2) = 0 means that x + 2 is a factor. Dividing x³ − 2x² − 68x − 120 by x + 2 gives x² − 4x − 60. This quadratic factors as (x − 10)(x + 6), so all the factors are (x + 2)(x − 10)(x + 6), which is choice B.

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