Write $f ( x ) = x ^ { 3 } - 7 x ^ { 2 } + 10 x - 29$

question 34

Multiple Choice

Write $f ( x ) = x ^ { 3 } - 7 x ^ { 2 } + 10 x - 29$ in the form $f ( x ) = ( x - k ) q ( x ) + r$ when $k = 6$ .

• A) \(f ( x ) = ( x - 6 ) \left( x ^ { 2 } - x + 4 \right)\)
• B) \(f ( x ) = ( x - 6 ) \left( x ^ { 2 } - x + 4 \right) - 5\)
• C) \(f ( x ) = ( x + 6 ) \left( x ^ { 2 } - x + 4 \right) + 5\)
• D) \(f ( x ) = ( x + 6 ) \left( x ^ { 2 } + x + 4 \right) - 5\)
• E) \(f ( x ) = ( x - 6 ) \left( x ^ { 2 } + x + 4 \right) + 5\)

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