Using the Factors (X - 5) and (X + 2) $f ( x ) = x ^ { 3 } - 6 x ^ { 2 } - x + 30$

question 421

Multiple Choice

Using the factors (x - 5) and (x + 2) , find the remaining factor(s) of $f ( x ) = x ^ { 3 } - 6 x ^ { 2 } - x + 30$ and write the polynomial in fully factored form.

• A) \(f ( x ) = ( x - 5 ) ( x + 2 ) ( x - 3 )\)
• B) \(f ( x ) = ( x - 5 ) ( x + 2 ) ^ { 2 }\)
• C) \(f ( x ) = ( x - 5 ) ( x + 2 ) ( x + 3 )\)
• D) \(f ( x ) = ( x - 5 ) ^ { 2 } ( x + 2 )\)
• E) \(f ( x ) = ( x - 5 ) ( x + 2 ) ( x + 1 )\)

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