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