Perform the Indicated Operation and Express Your Answer in Simplest $$\frac { 2 x + 6 } { x ^ { 2 } + 12 x + 35 } + \frac { 4 x + 5 } { x ^ { 2 } + 11 x + 30 } + \frac { 17 } { x + 6 }$$

question 258

Short Answer

Perform the indicated operation and express your answer in simplest form. $$\frac { 2 x + 6 } { x ^ { 2 } + 12 x + 35 } + \frac { 4 x + 5 } { x ^ { 2 } + 11 x + 30 } + \frac { 17 } { x + 6 }$$ Please enter your answer as one fraction with the denominator factored completely.

---

Definitions:

Aortic Arch

The curved portion of the aorta, the largest artery in the body, from which major arteries to the head and upper limbs branch off.

Brachiocephalic Artery

A major blood vessel of the arterial system that supplies blood to the right arm and head, branching from the aorta.

Coronary Artery

One of two arteries that arise from the base of the aorta and carry blood to the muscle of the heart.

Abdominal Aorta

The portion of the aorta that passes through the abdomen, supplying oxygenated blood to the abdominal and pelvic organs and the legs.