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) \(p ^ { 2 } + 5 p + \frac { 25 } { 2 } = \left( p + \frac { 25 } { 2 } \right) ^ { 2 }\)