本题目来源于试卷: Quadratics，类别为 IB数学
[问答题]
Consider the quadratic polynomij41uds +jl3rw 7j. 6iz9dx vzpal p igd .2wqlgjg 7ep1gvq*j 167d(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.
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