Find the sum or difference.
-$$\frac { x ^ { 2 } + 11 x + 14 } { x + 9 }$$
A) $x + 2 - \frac { 4 } { x + 9 }$
B) $x + 3$
C) $x + 2 + \frac { 4 } { x + 9 }$
D) $\frac { x + 2 } { x + 9 }$

Question

Quizplus · Accepted Answer

To simplify the given expression $\frac { x ^ { 2 } + 11 x + 14 } { x + 9 }$, we perform polynomial division or factor the numerator if possible. Factoring the numerator as $(x+2)(x+9)$, we get $\frac { (x+2)(x+9) } { x + 9 }$. Simplifying this, we get $x + 2$, but since the original expression cannot be factored this way directly, we must use polynomial division, which results in $x + 2 - \frac { 4 } { x + 9 }$, making option A correct.

Find the Sum or Difference x2+11x+14x+9\frac { x ^ { 2 } + 11 x + 14 } { x + 9 }x+9x2+11x+14​

Find the Sum or Difference $\frac { x ^ { 2 } + 11 x + 14 } { x + 9 }$