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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.
- p2+5p\mathrm { p } ^ { 2 } + 5 \mathrm { p }


A) p2+5p+254=(p+52) 2p ^ { 2 } + 5 p + \frac { 25 } { 4 } = \left( p + \frac { 5 } { 2 } \right) ^ { 2 }
B) p2+5p254=(p52) 2\mathrm { p } ^ { 2 } + 5 \mathrm { p } - \frac { 25 } { 4 } = \left( \mathrm { p } - \frac { 5 } { 2 } \right) ^ { 2 }
C) p2+5p+10=(p+5) 2p ^ { 2 } + 5 p + 10 = ( p + 5 ) ^ { 2 }
D) p2+5p+252=(p+252) 2p ^ { 2 } + 5 p + \frac { 25 } { 2 } = \left( p + \frac { 25 } { 2 } \right) ^ { 2 }

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