Use Division to Write the Rational Function in the Form $$\frac { x ^ { 5 } - 3 x ^ { 4 } + x ^ { 3 } - 3 x ^ { 2 } - 6 x - 1 } { x ^ { 2 } - 4 x + 3 }$$

question 110

Multiple Choice

Use division to write the rational function in the form q(x) + r(x) /d(x) , where the degree of r(x) is less than the degree of
d(x) . Then find the partial fraction decomposition of r(x) /d(x) .
- $$\frac { x ^ { 5 } - 3 x ^ { 4 } + x ^ { 3 } - 3 x ^ { 2 } - 6 x - 1 } { x ^ { 2 } - 4 x + 3 }$$

• A) \(x ^ { 3 } + x ^ { 2 } - 2 x - 2 + \frac { - 19 } { 2 ( x - 3 ) } + \frac { - 11 } { 2 ( x - 1 ) }\)
• B) \(x ^ { 3 } - x ^ { 2 } - 2 x + 2 + \frac { 19 } { 2 ( x - 3 ) } + \frac { - 11 } { 2 ( x - 1 ) }\)
• C) \(x ^ { 3 } - x ^ { 2 } - 2 x - 2 + \frac { - 19 } { 2 ( x - 3 ) } + \frac { - 11 } { 2 ( x - 1 ) }\)
• D) \(x ^ { 3 } + x ^ { 2 } + 2 x + 2 + \frac { - 19 } { 2 ( x - 3 ) } + \frac { 11 } { 2 ( x - 1 ) }\)

---

Definitions:

Editor

An individual responsible for overseeing and deciding the final content of publications.

CSR Activities

Initiatives and programs undertaken by a company to demonstrate its commitment to operating in an economically, socially, and environmentally sustainable manner.

Habitat For Humanity

An international, non-governmental, and nonprofit organization which was founded to eliminate poverty housing and homelessness by building homes for those in need.

PR Professional

A specialist in managing the public image and relationships of organizations, helping to communicate messages effectively and uphold a positive reputation.