Use long division to divide.
$$\left( 2 x ^ { 2 } + 11 x + 12 \right) \div ( x + 4 )$$
A) $2 x + 19 + \frac { 88 } { x + 4 }$
B) $2 x + 3$
C) $2 x + 19 + \frac { 22 } { x + 4 }$
D) $2 x + 22$
E) $- 2 x - 3$

Question

Quizplus · Accepted Answer

Dividing $2x^2 + 11x + 12$ by $x + 4$ using long division, we first divide $2x^2$ by $x$ to get $2x$, then multiply $2x$ by $x + 4$ to get $2x^2 + 8x$. Subtracting this from the original polynomial gives us $3x + 12$. Dividing $3x$ by $x$ gives $3$, and multiplying $3$ by $x + 4$ gives $3x + 12$, which subtracts to $0$. Thus, the quotient is $2x + 3$, making option B correct.

Use Long Division to Divide (2x2+11x+12)÷(x+4)\left( 2 x ^ { 2 } + 11 x + 12 \right) \div ( x + 4 )(2x2+11x+12)÷(x+4)

Use Long Division to Divide $\left( 2 x ^ { 2 } + 11 x + 12 \right) \div ( x + 4 )$