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

question 72

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.
- $x ^ { 2 } - \frac { 2 } { 5 } x$

• A) \(\frac { 2 } { 25 } ; x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 2 } { 25 } = \left( x - \frac { 1 } { 5 } \right) ^ { 2 }\)
• B) \(\frac { 1 } { 25 } ; x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 1 } { 25 } = \left( x - \frac { 1 } { 5 } \right) ^ { 2 }\)
• C) \(\frac { 1 } { 25 } ; x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 1 } { 25 } = \left( x + \frac { 1 } { 5 } \right) ^ { 2 }\)
• D) \(\frac { 4 } { 25 } ; x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 4 } { 25 } = \left( x - \frac { 2 } { 5 } \right) ^ { 2 }\)

---

Definitions:

Large Lots

A production or purchasing strategy focusing on creating or buying goods in bulk quantities to benefit from economies of scale, despite the risk of increased inventory holding costs.

Multi-echelon Supply Chain

A complex supply chain consisting of multiple levels of suppliers, manufacturers, and distribution centers working in coordination to produce and deliver products.

Successful Characteristics

Encompasses the traits or attributes that contribute to the effectiveness, efficiency, and achievement of goals by individuals, organizations, or processes.

Trade Promotions

Special marketing tactics aimed at increasing sales and market presence, often implemented through discounts or bulk offers.