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) $Q : 4 a - 6$
$\mathrm { R } : 7 a + 19$

Question

Quizplus · Accepted Answer

We can use long division or synthetic division to solve the problem. After division, we get the quotient as $4a+6$ and the remainder as $7a-19$. Therefore, the correct answer is C.

Find the Quotient and Remainder for the Division Problem (4a3−2a2+7a−1)÷(a2−2a+3)\left( 4 a ^ { 3 } - 2 a ^ { 2 } + 7 a - 1 \right) \div \left( a ^ { 2 } - 2 a + 3 \right)(4a3−2a2+7a−1)÷(a2−2a+3)

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