Use synthetic division to perform the division. $\left( m ^ { 3 } - m ^ { 2 } - m - 2 \right) \div ( m + 1 )$
A) $m ^ { 2 } - 2 m + 1 + \frac { 3 } { m + 1 }$
B) $m ^ { 2 } - 2 m + 1 - \frac { 3 } { m + 1 }$
C) $m ^ { 2 } - 2 m + 1 - \frac { 3 } { m - 1 }$
D) $m ^ { 2 } - 2 m + 2 - \frac { 3 } { m + 1 }$
E) $m ^ { 2 } + 2 m + 1 - \frac { 3 } { m + 1 }$

Question

Quizplus · Accepted Answer

To perform synthetic division with $m^3 - m^2 - m - 2$ by $m + 1$, we set up the division with -1 (since $m + 1 = 0$ when $m = -1$). The coefficients of the polynomial are 1 (for $m^3$), -1 (for $-m^2$), -1 (for $-m$), and -2 (for the constant term). The synthetic division process yields a quotient of $m^2 - 2m + 1$ and a remainder of -3, which gives the division result as $m^2 - 2m + 1 - \frac{3}{m + 1}$.

Use Synthetic Division to Perform the Division (m3−m2−m−2)÷(m+1)\left( m ^ { 3 } - m ^ { 2 } - m - 2 \right) \div ( m + 1 )(m3−m2−m−2)÷(m+1)

Use Synthetic Division to Perform the Division $\left( m ^ { 3 } - m ^ { 2 } - m - 2 \right) \div ( m + 1 )$