Using the Factors $( 3 x + 2 )$ And $( x - 1 )$

question 83

Multiple Choice

Using the factors $( 3 x + 2 )$ and $( x - 1 )$ , find the remaining factor(s) of $f ( x ) = - 6 x ^ { 4 } + 23 x ^ { 3 } - 12 x ^ { 2 } - 11 x + 6$ and write the polynomial in fully factored form.

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

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