I'm having trouble justifying the inner product
Intergral from 1 to 0 of p(X)q(x)
where
p(x)=ao+a1x+a2x
Q(x)=b0+b1x+b2x
Ive satisfied all conditions apart from
Intergral from 1 to 0 of p(X)^2 >=0
how do I justify a^2 + b^2 +c^2 +2ab+2ac+2cb is above the x axis?
where a=a0
b=a1
c=a2