If Possible, Factor the Polynomial Completely $15 x ^ { 2 } y ^ { 2 } + 16 x y ^ { 2 } + 4 y ^ { 2 }$

question 83

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $15 x ^ { 2 } y ^ { 2 } + 16 x y ^ { 2 } + 4 y ^ { 2 }$

• A) \(y ^ { 2 } ( 3 x + 2 ) ( 5 x + 2 )\)
• B) \(y ^ { 2 } ( x + 2 ) ( 15 x + 2 )\)
• C) \(( 5 x + 2 y ) ( 3 x + 2 y )\)
• D) \(( 3 x + 2 y ) ( 5 x + 2 y )\)

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Definitions:

Zero-Sum Game

A situation in game theory where one participant's gain or loss is exactly balanced by the losses or gains of the other participants.

Negative-Sum Game

In game theory, a game in which the gains (+) and losses (−) add up to some amount less than zero; one party’s losses exceed the other party’s gains. A strategic interaction (game) between two or more parties (players) in which the winners’ gains are less than the losers’ losses so that the gains and losses sum to a negative number.

Positive-Sum Game

A situation in game theory in which the sum of gains and losses is greater than zero, indicating that all participants can benefit from cooperation or competition.

Oligopoly

A market structure characterized by a few firms controlling a large portion of the market share, influencing prices and competition.