Using the Factors (X - 4) and (X + 2) $f ( x ) = x ^ { 3 } + x ^ { 2 } - 14 x - 24$

question 391

Multiple Choice

Using the factors (x - 4) and (x + 2) , find the remaining factor(s) of $f ( x ) = x ^ { 3 } + x ^ { 2 } - 14 x - 24$ and write the polynomial in fully factored form.

• A) \(f ( x ) = ( x - 4 ) ( x + 2 ) ^ { 2 }\)
• B) \(f ( x ) = ( x - 4 ) ( x + 2 ) ( x + 3 )\)
• C) \(f ( x ) = ( x - 4 ) ( x + 2 ) ( x + 7 )\)
• D) \(f ( x ) = ( x - 4 ) ^ { 2 } ( x + 2 )\)
• E) \(f ( x ) = ( x - 4 ) ( x + 2 ) ( x - 3 )\)

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