Question

Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial p^2+p+_

Answer 1

Take 1/2 of linear coefient (1st degree)
that is p
p=1p
linear cofient is 1
1/2 of that is 1/2
square it to get 1/4

therefor the constant is 1/4

it factors to
$(p+ \frac{1}{2})^2$

Answer 2

P^2+p+1/2^2

(p+1/2)^2