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) \(25 ; x ^ { 2 } - 5 x + 25 = ( x - 5 ) ^ { 2 }\)

---

Definitions:

Trade Deficit

A situation that occurs when a country imports more goods and services than it exports, resulting in a negative balance of trade.

Billions

A numerical value equal to one thousand million (1,000,000,000) in the short scale used by most English-speaking countries.

Selling Abroad

The act of marketing and selling products or services outside one's own country.

New Beetle

A compact car model introduced by Volkswagen in 1997, serving as the modern interpretation of the original Volkswagen Beetle.