Using the Factors (5x + 4) and (X - 1) $f ( x ) = - 20 x ^ { 4 } + 109 x ^ { 3 } - 30 x ^ { 2 } - 79 x + 20$

question 215

Multiple Choice

Using the factors (5x + 4) and (x - 1) , find the remaining factor(s) of $f ( x ) = - 20 x ^ { 4 } + 109 x ^ { 3 } - 30 x ^ { 2 } - 79 x + 20$ and write the polynomial in fully factored form.

• A) \(f ( x ) = ( 5 x + 4 ) ( - x + 5 ) ( 4 x - 1 ) ( x - 1 )\)
• B) \(f ( x ) = ( 5 x + 4 ) ^ { 2 } ( 4 x - 1 ) ( x + 1 )\)
• C) \(f ( x ) = ( 5 x + 4 ) ( 5 x + 4 ) ( 4 x - 1 ) ( x - 1 )\)
• D) \(f ( x ) = ( 5 x + 4 ) ^ { 2 } ( x - 1 ) ^ { 2 }\)
• E) \(f ( x ) = ( 5 x + 4 ) ( - x - 5 ) ^ { 2 } ( x + 1 )\)

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