Simplify the Rational Expression $\frac { 4 x ^ { 3 } + x ^ { 2 } - 51 x + 36 } { 4 x - 3 }$

question 208

Multiple Choice

Simplify the rational expression, $\frac { 4 x ^ { 3 } + x ^ { 2 } - 51 x + 36 } { 4 x - 3 }$ , by using long division or synthetic division.

• A) \(x ^ { 2 } + 7 x + 16\)
• B) \(x ^ { 2 } - 7 x - 12\)
• C) \(x ^ { 2 } - 6 x + 12\)
• D) \(x ^ { 2 } + 8 x + 9\)
• E) \(x ^ { 2 } + x - 12\)

---

Definitions:

Doctors Without Borders

An international humanitarian medical non-governmental organization known for its projects in conflict zones and in countries affected by endemic diseases.

Congenital Heart Defects

Birth defects that affect the structure of the heart and its ability to function properly, present from birth.

Corporate Social Responsibility

Practices by companies that involve initiatives that benefit society and go beyond what may be required by regulators or environmental protection groups.

Voluntary Actions

Behaviors or actions undertaken by an individual or organization by choice, without being compelled or obligated by law.