Find the Partial Fraction Decomposition $\frac { 4 x ^ { 4 } - 4 x ^ { 3 } + 8 x ^ { 2 } - 7 x + 1 } { x ^ { 3 } - x ^ { 2 } + x - 1 }$

question 7

Multiple Choice

Find the partial fraction decomposition. $\frac { 4 x ^ { 4 } - 4 x ^ { 3 } + 8 x ^ { 2 } - 7 x + 1 } { x ^ { 3 } - x ^ { 2 } + x - 1 }$

• A) \(4 x + \frac { 1 } { x + 1 } + \frac { 3 x } { x ^ { 2 } - 1 }\)
• B) \(4 x + \frac { 1 } { x - 1 } + \frac { 3 x } { x ^ { 2 } + 1 }\)
• C) \(3 x + \frac { 1 } { x - 1 } + \frac { 4 x } { x ^ { 2 } + 1 }\)
• D) \(4 x - 4 + \frac { 1 } { x - 1 } + \frac { 3 x } { x ^ { 2 } + 1 }\)
• E) \(4 x + 4 - \frac { 1 } { x - 1 } + \frac { 3 x } { x ^ { 2 } + 1 }\)

---

Definitions:

Enterprise Product

A product designed specifically for organizational use to cater to the complexity and scale of enterprise requirements.

Profit-Volume Chart

A chart used to assist management in understanding the relationship between profit and volume.

Break-Even Point

The level of production or sales at which total costs equal total revenues, resulting in no net loss or gain.

Horizontal Axis

A graph's base line for plotting and reading values, typically representing time or categories.