One root of f of x is equal to x cubed plus 10 x squared minus 25 x minus 250 is x is equal to negative 10 What are all the roots of the function? Use the Remainder Theorem.

By the Remainder Theorem, f(−10) = 0 means (x + 10) is a factor. Dividing x³ + 10x² − 25x − 250 by (x + 10) gives x² − 25, which factors as (x − 5)(x + 5). Therefore, all the roots are x = −10, x = −5, and x = 5, matching choice C.

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