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

question 7

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

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

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Definitions:

Fair Value Through Profit or Loss

A financial reporting approach where assets and liabilities are revaluated at current market prices, with changes affecting the income statement.

Share Price

The current price at which a share of stock can be bought or sold.

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An accounting technique used to record investments in other companies, where the investment is initially recorded at cost and subsequently adjusted for the investor's share of the investee's profits or losses.

Revaluation

The process of adjusting the book value of an asset to reflect its current fair market value.