[问答题]
Consider the quadrativy2ru 68m e(q(aha p6bc polynomial p(x)=uaa. /i5sp7jjlk oy2 )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.
