Verified answer

x^2 + px + 16 = (x + a)^2 = x^2 + 2ax + a^2

Então:

1) 16 = a^2 --> a = 4

2) p = 2a --> p = 8

P=8

(x+y)²=x²+2.x.y+y² comparando com:

...........x²+px+16

x²=x².....x=x

y²=16....y=√16....y=4

px=2x.y.....px=2x.4=8x

A(x)=x²+px+16=x²+8x+16>>>>