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 9

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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