Use Division to Write the Rational Function in the Form $$\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }$$

question 322

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) .
- $$\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }$$

• A) \(2 x - 9 + \frac { 19 } { x + 2 } - \frac { 1 } { x - 1 }\)
• B) \(2 x - 9 - \frac { 5 / 3 } { x + 2 } + \frac { 1 / 3 } { x - 1 }\)
• C) \(2 x + 5 - \frac { 7 / 3 } { x + 2 } + \frac { 13 / 3 } { x - 1 }\)
• D) \(2 x + 9 - \frac { 13 } { x + 2 } + \frac { 7 } { x - 1 }\)

---

Definitions:

Leukocytes

White blood cells that are part of the immune system, involved in protecting the body against both infectious disease and foreign invaders.

Leukocytes

White blood cells that play a key role in the immune system by defending the body against infectious disease and foreign materials.

Agranulocytes

White blood cells, such as lymphocytes and monocytes, that lack granules in their cytoplasm and play a role in the immune system.

Platelets

Small blood cells essential for blood clotting, preventing excessive bleeding when blood vessels are injured.