Question 5
Let $m,n$ be real numbers with $m$ nonzero. Suppose $a,b,c$ are the roots of $mx^3-mx^2+nx+n=0$. Find $(a+b+c)(1/a+1/b+1/c)$.
Domain clarification for self-study: assume n is also nonzero, so every reciprocal in the requested expression is defined. The original source states only that m is nonzero.
Domain clarification for self-study: assume n is also nonzero, so every reciprocal in the requested expression is defined. The original source states only that m is nonzero.