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# Use Synthetic Division to Find the Quotient and the Remainder $\left( 3 x ^ { 4 } + 2 x ^ { 2 } - 1 \right) \div \left( x + \frac { 1 } { 2 } \right)$

Question 51
Multiple Choice
Question 51
Multiple Choice

## Use synthetic division to find the quotient and the remainder.- $\left( 3 x ^ { 4 } + 2 x ^ { 2 } - 1 \right) \div \left( x + \frac { 1 } { 2 } \right)$

A) $Q ( x ) = 3 x ^ { 3 } + \frac { 3 } { 2 } x ^ { 2 } - \frac { 11 } { 8 } x + \frac { 11 } { 8 } ; R ( x ) = - \frac { 5 } { 16 }$
B) $Q ( x ) = 3 x ^ { 3 } - 1 ; R ( x ) = - 2$
C) $Q ( x ) = 3 x ^ { 3 } - 1 ; R ( x ) = 0$
D) $Q ( x ) = 3 x ^ { 3 } - \frac { 3 } { 2 } x ^ { 2 } + \frac { 11 } { 4 } x - \frac { 11 } { 8 } ; R ( x ) = - \frac { 5 } { 16 }$

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