About the irreducibility of $p(x)=x^5+12ax^3+34bx+43c$ where $a,b,c$ are integers.

Question

Consider the polynomial $p(x)=x^5+12ax^3+34bx+43c$ where $a,b,c$ are integers. Then

1. $p(x)$ is irreducible over $\mathbb R$ if and only if $p(x)$ is reducible over $\mathbb C$.
2. $p(x)$ is irreducible over $\mathbb R$ if and only if $p(x)$ is irreducible over $\mathbb Q$.
3. $p(x)$ is irreducible over $\mathbb Q$ if and only if $p(x)$ is irreducible over $\mathbb C$.
4. $p(x)$ is irreducible over $\mathbb Z$ if and only if $p(x)$ is irreducible over $\mathbb Q$.

I can not understand which option is true.