That has to be true for all values of x, y and z, so I chose a set of values that makes life easy:
If x = y = 1 and z = -2, then x + y + z = 0 and the equation becomes
From here you can get k.
Bob
]]>http://www.mathisfunforum.com/profile.php?id=676942018-05-28T12:45:12Zhttp://www.mathisfunforum.com/viewtopic.php?pid=403903#p403903Determine a constant k such that the polynomial P(x, y, z) = x^5 + y^5 + z^5 + k(x^3+y^3+z^3)(x^2+y^2+z^2) is divisible by x+y+z.