[问答题]
Consider the quadratic polynomia0e-to hghly mvjhx4 w, )v4,ax)0im.tl p(xu3e/r gz*rqgm(i+ 7 jy)=2 k $x^{2}+15 k x+3 k+6$ , where k $\in \mathbb{R}$ .
1. Find an expression for the product of the roots of p(x) in terms of k .
2. Find the values of k for which p(x) has two distinct negative real roots.