Add the Proper Constant to the Binomial So That the Resulting

question 210

Multiple Choice

Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
- $$\mathrm { p } ^ { 2 } + 5 \mathrm { p }$$

• A) \(p ^ { 2 } + 5 p + \frac { 25 } { 4 } = \left( p + \frac { 5 } { 2 } \right) ^ { 2 }\)
• B) \(\mathrm { p } ^ { 2 } + 5 \mathrm { p } - \frac { 25 } { 4 } = \left( \mathrm { p } - \frac { 5 } { 2 } \right) ^ { 2 }\)
• C) \(p ^ { 2 } + 5 p + 10 = ( p + 5 ) ^ { 2 }\)
• D) \(p ^ { 2 } + 5 p + \frac { 25 } { 2 } = \left( p + \frac { 25 } { 2 } \right) ^ { 2 }\)

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Definitions:

Money Supply

refers to the total amount of monetary assets available in an economy at a specific time, including cash, coins, and balances held in checking and savings accounts.

Economy Growth

An increase in the production of goods and services in an economy over time.

Open Market Operations

The purchase and sale of government bonds by a central bank as a means to regulate the economy's money supply and adjust interest rates.

Inflation

The speed at which the overall price level of goods and services increases, leading to a decline in the currency's buying power.