Use Synthetic Division to Express $P ( x ) = 3 x ^ { 3 } - 16 x ^ { 2 } - 7 x - 55$

question 6

Multiple Choice

Use synthetic division to express $P ( x ) = 3 x ^ { 3 } - 16 x ^ { 2 } - 7 x - 55$ in the form $($ divisor) $($ quotient $) +$ remainder for the divisor $x - 6$ .

• A) \(\quad ( x - 6 ) \left( 3 x ^ { 2 } + 5 \right) - 25\)
• B) \(( x - 3 ) \left( 25 x ^ { 2 } + 2 x + 5 \right) - 25\)
• C) \(( x - 6 ) \left( 3 x ^ { 2 } + 2 x + 5 \right) - 25\)
• D) \(( x - 6 ) \left( 3 x ^ { 2 } + x + 5 \right)\)
• E) none of these

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