Factor Out the Greatest Common Factor $$14 x ^ { 3 a } - 4 x ^ { 2 a } + 10 x ^ { a }$$

question 107

Multiple Choice

Factor out the greatest common factor. Assume that variables used as exponents represent positive integers.
- $$14 x ^ { 3 a } - 4 x ^ { 2 a } + 10 x ^ { a }$$

• A) \(2 x ^ { a } \left( 7 x ^ { 2 a } - 2 x ^ { a } + 5 \right)\)
• B) \(x ^ { a } \left( 14 x ^ { 2 a } - 4 x ^ { a } + 10 \right)\)
• C) \(2 \left( 7 x ^ { 3 a } - 2 x ^ { 2 a } + 5 x ^ { a } \right)\)
• D) \(2 x ^ { a } \left( 7 x ^ { 3 a } - 2 x ^ { 2 a } + 5 x ^ { a } \right)\)

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Definitions:

GIS System

Geographical Information System, a tool that captures, stores, analyzes, and manages geographically referenced data.

Primary Producers

Organisms that synthesize food from inorganic substances using light or chemical energy; the base of a food chain.

Bacteria

Microscopic, single-celled organisms found in diverse environments that play critical roles in various ecological systems, including the human body.

Limiting Factor

An environmental condition that constrains a population's size, growth rate, or distribution.