Factor Assume That Variables Used as Exponents Represent Positive Integers $$7 x ^ { 2 n } + 5 x ^ { n } - 18$$

question 173

Multiple Choice

Factor. Assume that variables used as exponents represent positive integers.
- $$7 x ^ { 2 n } + 5 x ^ { n } - 18$$

• A) \(\left( \mathrm { x } ^ { \mathrm { n } } - 9 \right) \left( 7 \mathrm { x } ^ { \mathrm { n } } + 2 \right)\)
• B) \(\left( x ^ { n } + 2 \right) \left( 7 x ^ { n } - 9 \right)\)
• C) \(\left( x ^ { n } - 2 \right) \left( 7 x ^ { n } + 9 \right)\)
• D) prime polynomial

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Definitions:

Social Trap

A situation in which a group of individuals act against their best interests by pursuing short-term gains, leading to a worse situation for all in the long term.

Collective Harm

Damage or injury that affects a group or community rather than an individual.

Self-Interest

Acting in a way that is beneficial to oneself, often driven by personal gain or advantage.

Social Exchange Theory

A viewpoint from social psychology and sociology that describes how social stability and change come about through a process of negotiated trades between different parties.