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Verified Answer :

The general Formula looks like this:
\(x^2 +bx + ( \frac{b}{2})^2\)
This really only involves 2 steps:
1) Take half of "x" coefficient. ----> -8/2 = -4
2) Square that number.   ---------->  (-4)^2 = 16

Perfect trinomial for this example is then:
\(x^2 -8x+16\)