Determine the Constant That Should Be Added to the Binomial $$x ^ { 2 } + \frac { 1 } { 5 } x$$

question 325

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $$x ^ { 2 } + \frac { 1 } { 5 } x$$

• A) \(\frac { 1 } { 100 } ; x ^ { 2 } + \frac { 1 } { 5 } x + \frac { 1 } { 100 } = \left( x + \frac { 1 } { 10 } \right) ^ { 2 }\)
• B) \(\frac { 1 } { 25 } ; x ^ { 2 } + \frac { 1 } { 5 } x + \frac { 1 } { 25 } = \left( x + \frac { 1 } { 5 } \right) ^ { 2 }\)
• C) \(\frac { 1 } { 10 } ; x ^ { 2 } + \frac { 1 } { 5 } x + \frac { 1 } { 10 } = \left( x + \frac { 1 } { 5 } \right) ^ { 2 }\)
• D) \(100 ; x ^ { 2 } + \frac { 1 } { 5 } x + 100 = ( x + 10 ) ^ { 2 }\)

Comprehend how pollution permits work and their advantages over other forms of regulation.

Grasp the economic rationale behind achieving optimal levels of pollution and externalities through market-based mechanisms.

Understand the concept of marginal private and social benefits and costs.

Identify the role of government intervention in correcting market failures due to externalities.

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