Factor Completely $$x ^ { 10 } + 30 x ^ { 5 } + 225$$

question 109

Multiple Choice

Factor completely.
- $$x ^ { 10 } + 30 x ^ { 5 } + 225$$

• A) \(\left( x ^ { 5 } + 15 \right) ^ { 2 }\)
• B) Prime
• C) \(\left( x ^ { 5 } + 15 \right) \left( x ^ { 5 } - 15 \right)\)
• D) \(\left( x ^ { 5 } - 15 \right) ^ { 2 }\)

Identify the relationship between input ratios and output levels, including the concept of the marginal product of labor.

Understand the elasticity of substitution between inputs in production processes.

Comprehend the meaning and implications of convexity in production functions.

Distinguish between long-run and short-run perspectives in production theory.

---

Definitions:

Pension Plan

A pension plan is a retirement plan that requires an employer to make contributions into a pool of funds set aside for a worker's future benefit. The funds are invested on the employee's behalf, and the earnings on the investments generate income to the worker upon retirement.

Retirement Age

The age at which a person is eligible to retire and receive full pension benefits, typically set by government policies or employment agreements.

Cafeteria-Style Plans

Employee benefit plans that allow workers to choose from a variety of pre-tax benefits, tailoring their benefits package to their specific needs.

Unemployment Insurance Tax

A tax collected by the federal and state governments from employers to fund unemployment benefits for workers who have lost their jobs.