Let \(k\) and \(m\) be real numbers, and suppose that the roots of the equation
\(x^3 - 7x^2 + kx - m = 0\)
are three distinct positive integers. Compute \(k+m\)
Let the roots be p, q and r, and show that p + q + r = 7.
If p, q and r are distinct positive integers, they have to be 1, 2 and 4.
Now that I think about it, why do p+q+r=7?
ohh, ok, so would we get k+m=7?