Factor the Greatest Common Factor from the Polynomial $28 x ^ { 2 n } - 20 x ^ { n }$

question 27

Multiple Choice

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers.
- $28 x ^ { 2 n } - 20 x ^ { n }$

• A) \(4 x ^ { n } \left( 7 x ^ { n } - 5 x \right)\)
• B) \(4 x ^ { 2 n } \left( 7 x ^ { n } - 5 \right)\)
• C) \(4 x ^ { 2 } \left( 7 x ^ { n } - 5 \right)\)
• D) \(4 x ^ { n } \left( 7 x ^ { n } - 5 \right)\)

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Definitions:

Dichloromethane

A volatile organic compound with a formula CH2Cl2, commonly used as a solvent and in chemical synthesis.

Initiation Step

The first step in a chain reaction mechanism in which reactive species capable of propagation are generated.

Chlorination

A chemical reaction where chlorine is added to another substance, often used in the synthesis of organic compounds and as a method for water disinfection.

Methane

A simple hydrocarbon with the formula CH4, representing the simplest alkane and the main component of natural gas.