Using the Factors $( x - 5 )$ And $( x + 3 )$

question 38

Multiple Choice

Using the factors $( x - 5 )$ and $( x + 3 )$ , find the remaining factor(s) of $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 13 x + 15$ and write the polynomial in fully factored form.

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

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