Find the Partial Fraction Decomposition $$\frac { 3 } { x ^ { 2 } + 4 x + 3 } = \frac { A } { x + 3 } + \frac { B } { x + 1 }$$

question 99

Multiple Choice

Find the partial fraction decomposition.
- $$\frac { 3 } { x ^ { 2 } + 4 x + 3 } = \frac { A } { x + 3 } + \frac { B } { x + 1 }$$

• A) \(A = - \frac { 3 } { 2 } , B = - \frac { 3 } { 2 }\)
• B) \(A = \frac { 3 } { 2 } , B = \frac { 3 } { 2 }\)
• C) \(\mathrm { A } = \frac { 3 } { 2 } , \mathrm {~B} = - \frac { 3 } { 2 }\)
• D) \(\mathrm { A } = - \frac { 3 } { 2 } , \mathrm {~B} = \frac { 3 } { 2 }\)

---

Definitions:

Freudian Approach

A psychological theory or technique based on the work of Sigmund Freud, which emphasizes unconscious motivations and conflicts, especially as they manifest in dreams and symbolic actions.

Unconscious

Relating to the part of the mind that is inaccessible to the conscious mind but that affects behavior and emotions.

Early Childhood Experiences

Early childhood experiences encompass various events, interactions, and environments a child is exposed to from birth up until around the age of eight, which significantly influence cognitive, emotional, and social development.

Within-Family Difference

Refers to variations or disparities in traits, behaviors, or outcomes observed among members of the same family.