本题目来源于试卷: Quadratics，类别为 IB数学
[问答题]
Consider the quadratic polynomial p(x)=2 qq3f rr +gpd ;u(b+w )bf9x3eek2ap0v jb8cwt9 sgh:7u((rz p g $x^{2}+15 k x+3 k+6$ , 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.
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