Perform the Operation Indicated $$\frac { x ^ { 2 } + 11 x + 18 } { x ^ { 2 } + 18 x + 81 } \div \frac { x ^ { 2 } + 2 x } { x ^ { 2 } + 14 x + 45 }$$

question 32

Multiple Choice

Perform the operation indicated.
- $$\frac { x ^ { 2 } + 11 x + 18 } { x ^ { 2 } + 18 x + 81 } \div \frac { x ^ { 2 } + 2 x } { x ^ { 2 } + 14 x + 45 }$$

• A) \(\frac { x + 5 } { x }\)
• B) \(x + 5\)
• C) \(\frac { x } { x ^ { 2 } + 18 x + 81 }\)
• D) \(\frac { x + 5 } { x ^ { 2 } + 9 x }\)

---

Definitions:

Progressive

A system or policy where the level of contribution or effort increases with some measure of capacity, such as a progressive tax system where higher income earns pay a higher rate.

Proportional

Relating to or denoting a relationship where elements vary together at a constant rate and a change in one element results in a corresponding change in another.

Regressive

A term describing a tax system where the tax rate decreases as the taxable amount increases, placing a greater relative burden on lower income earners.

Form 1040EZ

A simplified tax form for individuals with uncomplicated tax situations, previously used to report income to the IRS.