Perform the Indicated Operation $\frac { 4 x + 2 } { x ^ { 2 } + 7 x + 10 } + \frac { 3 x + 1 } { x ^ { 2 } + 6 x + 8 } + \frac { 6 } { x + 4 }$

question 145

Multiple Choice

Perform the indicated operation. $\frac { 4 x + 2 } { x ^ { 2 } + 7 x + 10 } + \frac { 3 x + 1 } { x ^ { 2 } + 6 x + 8 } + \frac { 6 } { x + 4 }$

• A) \(\frac { 14 x ^ { 2 } + 76 x + 73 } { ( x + 2 ) ( x + 5 ) ( x + 4 ) }\)
• B) \(\frac { 13 x ^ { 2 } + 76 x + 73 } { ( x + 2 ) ( x + 5 ) ( x + 4 ) }\)
• C) \(\frac { 13 x ^ { 2 } + 79 x + 73 } { ( x + 2 ) ( x + 5 ) ( x + 4 ) }\)
• D) \(\frac { 13 x ^ { 2 } + 76 x + 69 } { ( x + 2 ) ( x + 5 ) ( x + 4 ) }\)

---

Definitions:

Mode

The most repeatedly occurring number in a set of data.

Unranked Categories

Categorizations without an inherent order or hierarchy among them, where elements are grouped based on qualitative differences rather than quantitative measures.

Measure Of Central Tendency

A statistical value that describes a central or typical value for a set of data, such as mean, median, or mode.

Political Party Affiliation

The formal association of individuals with a political party, often indicating shared ideologies, policies, and goals.