Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial

Question

Natalija [7]

4 years ago

8

Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial

p^2+p+_

Mathematics

2 answers:

Finger [1] · Answer 1 · 2021-11-10T18:17:01+03:00

Finger [1]4 years ago

5 0

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

jeka57 [31] · Answer 2 · 2021-11-10T16:43:10+03:00

jeka57 [31]4 years ago

3 0

P^2+p+1/2^2

(p+1/2)^2