Find a Factored Form with Integer Coefficients of the Polynomial $$f ( x ) = 10 x ^ { 5 } - 41 x ^ { 4 } + 52 x ^ { 3 } - 17 x ^ { 2 } - 8 x + 4$$

question 11

Multiple Choice

Find a factored form with integer coefficients of the polynomial f shown in the figure. $$f ( x ) = 10 x ^ { 5 } - 41 x ^ { 4 } + 52 x ^ { 3 } - 17 x ^ { 2 } - 8 x + 4$$

• A) \(( 2 x + 5 ) \left( x ^ { 2 } - 2 \right) ( x - 1 ) ( x - 2 )\)
• B) \(( 2 x + 5 ) ( 2 x - 1 ) ( x - 1 ) ^ { 2 } ( x - 2 )\)
• C) \(( 5 x - 2 ) ( 2 x - 1 ) ( x - 1 ) ^ { 2 } ( x + 2 )\)
• D) \(( 5 x + 2 ) ( 2 x - 1 ) ( x - 1 ) ^ { 2 } ( x - 2 )\)
• E) \(x ( 5 x + 2 ) ( 2 x - 1 ) ( x - 1 ) ( x - 2 )\)

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