3. Given that $a$, $b$, and $c$ are all integers, and satisfy
$$
a^{2}+b^{2}+c^{2}+3 < a b + 3 b + 2 c \text{.}
$$

Then the quadratic equation with roots $a+b$ and $c-b$ is ( ).
(A) $x^{2}-3 x+2=0$
(B) $x^{2}+2 x-8=0$
(C) $x^{2}-4 x-5=0$
(D) $x^{2}-2 x-3=0$