[问答题]
Consider the quadratic polyn.u*cuk*6 )kwei,b d f xg0m9tqomkp m nyd k)ee c/ut8,w9s+mc7er+d8g+ial p(x)=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.
