Simplify.
-$$\frac { 3 x + 15 } { 2 x ^ { 2 } + 17 x + 35 }$$
A) $\frac { 3 x + 15 } { 2 x ^ { 2 } + 17 x + 35 }$
B) $\frac { 3 x } { 2 x + 7 }$
C) $\frac { 3 } { 2 x + 7 }$
D) $\frac { 3 x + 2 } { 2 x + 17 }$

Question

Quizplus · Accepted Answer

The expression can be simplified by factoring both the numerator and the denominator. The numerator $3x + 15$ can be factored as $3(x + 5)$. The denominator $2x^2 + 17x + 35$ can be factored as $(2x + 7)(x + 5)$. After factoring, the $(x + 5)$ terms cancel out, leaving $\frac{3}{2x + 7}$.

Simplify - 3x+152x2+17x+35\frac { 3 x + 15 } { 2 x ^ { 2 } + 17 x + 35 }2x2+17x+353x+15​

Simplify
- $\frac { 3 x + 15 } { 2 x ^ { 2 } + 17 x + 35 }$