Divide by Using Synthetic Division $$\left( 6 t ^ { 3 } + 7 t ^ { 2 } - t + 5 \right) \div \left( t + \frac { 2 } { 3 } \right)$$

Divide by using synthetic division. $$\left( 6 t ^ { 3 } + 7 t ^ { 2 } - t + 5 \right) \div \left( t + \frac { 2 } { 3 } \right)$$

A) $6 t ^ { 2 } + 3 t + 3$
B) $6 t ^ { 2 } + 3 t - 3 + \frac { 7 } { t + \frac { 2 } { 3 } }$
C) $6 t ^ { 2 } + 3 t - 3 + \frac { 21 } { t + \frac { 2 } { 3 } }$
D) $6 t ^ { 2 } + 3 t + 4$

Correct Answer:

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