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) \(100 ; x ^ { 2 } + \frac { 1 } { 5 } x + 100 = ( x + 10 ) ^ { 2 }\)

---

Definitions:

Non-Operating Activities

Business activities that are not related to the company's primary operations, such as investment income or losses from the sale of assets.

Income from Operations

The profit realized from a business's core operations, excluding income from other sources and expenses unrelated to the core operations.

Non-Operating Activities

Non-operating activities involve transactions not related to the core business operations, such as investment income or losses and extraordinary items.

Asset Disposals

The process of removing a fixed asset from the financial statements due to sale, trade, or retirement, involving the calculation of any gain or loss.