[问答题]
Consider the quadratic ,kl 2t+ /tjl6lz v9gybpolynomial p(y (-k5j; yu0,y9o 3rpdk mwcxhx)=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.
