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

Question

Quizplus · Accepted Answer

To form a perfect square trinomial from $p^2 + 5p$, add $\left(\frac{5}{2}\right)^2 = \frac{25}{4}$. The resulting trinomial is $p^2 + 5p + \frac{25}{4}$, which factors to $\left(p + \frac{5}{2}\right)^2$.

Add the Proper Constant to the Binomial So That the Resulting