Find the Quotient and Remainder for the Division Problem $\left( 4 a ^ { 3 } - 2 a ^ { 2 } + 7 a - 1 \right) \div \left( a ^ { 2 } - 2 a + 3 \right)$

Find the quotient and remainder for the division problem. $\left( 4 a ^ { 3 } - 2 a ^ { 2 } + 7 a - 1 \right) \div \left( a ^ { 2 } - 2 a + 3 \right)$

A) Q: $7 a - 19$
R: $4 a - 6$
B) $Q : 7 a - 19$
R: $4 a + 6$
C) $Q : 4 a + 6$
$\mathrm { R } : 7 a - 19$
D) $Q : 7 a + 19$
R: $4 a - 6$
E) $Q : 4 a - 6$
$\mathrm { R } : 7 a + 19$

Correct Answer:

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