Có P(x)=ax^2+2x+1
=>P(1/2)=a.(1/2)^2+2.1/2+1
P(1/2)=a.1/4+1+1
P(1/2)=1/4a+2
mà P(1/2)=1
=>1/4a+2=1
=>1/4a=-1
=>a=-4
Vậy a=-4
\(P\left(x\right)=ax^2+2x+1\Rightarrow P\left(\dfrac{1}{2}\right)=a.\left(\dfrac{1}{2}\right)^2+2.\dfrac{1}{2}+1=1\Leftrightarrow\dfrac{1}{4}a+1+1=1\Rightarrow a=-4\)