Answer
the zeros are $x=-1$ or $x=-6$ and the $x$-intercepts are $(-1,0)$ and $(-6,0)$.
Work Step by Step
By factorization, we have
$$
F(x)=x^2+7x+6=(x+1)(x+6)
.$$
That is, we have $x+1=0 $ or $x+6=0$. So the zeros are $x=-1$ or $x=-6$ and the $x$-intercepts are $(-1,0)$ and $(-6,0)$.