Use long division to divide. $\left( - x ^ { 2 } - 5 x - 6 \right) \div ( x + 2 )$
A) $- x ^ { 2 } - 7 - \frac { 20 } { x + 2 }$
B) $- x - 3$
C) $- x - 7 - \frac { 10 } { x + 2 }$
D) $- x - 10$
E) $x + 3$

Question

Use long division to divide.​ $\left( - x ^ { 2 } - 5 x - 6 \right) \div ( x + 2 )$
A) $- x ^ { 2 } - 7 - \frac { 20 } { x + 2 }$
B) $- x - 3$
C) $- x - 7 - \frac { 10 } { x + 2 }$
D)​ $- x - 10$
E)​ $x + 3$

Quizplus · Accepted Answer

Dividing $-x^2 - 5x - 6$ by $x + 2$ using long division, we first divide $-x^2$ by $x$ to get $-x$, then multiply $-x$ by $x + 2$ to get $-x^2 - 2x$. Subtracting this from the original polynomial gives $-3x - 6$. Dividing $-3x$ by $x$ gives $-3$, and multiplying $-3$ by $x + 2$ gives $-3x - 6$, which subtracts to 0, leaving no remainder. Thus, the quotient is $-x - 3$.

Use Long Division to Divide (−x2−5x−6)÷(x+2)\left( - x ^ { 2 } - 5 x - 6 \right) \div ( x + 2 )(−x2−5x−6)÷(x+2)

Use Long Division to Divide $\left( - x ^ { 2 } - 5 x - 6 \right) \div ( x + 2 )$