If f of negative 5 is equal to 0 , what are all the factors of the function f of x is equal to x cubed minus 19 x plus 30 ? Use the Remainder Theorem.

Since f(-5) = 0, the Remainder Theorem tells us that x + 5 is a factor. Dividing x³ − 19x + 30 by x + 5 gives x² − 5x + 6, which factors as (x − 2)(x − 3). Therefore, all the factors are (x − 2)(x + 5)(x − 3), choice C.

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