The polynomial P(x) = x^3 + px^2 + qx + r = 0 has roots sqrt(k), -sqrt(k), and a.
1. Explain why a + p = 0
2. Show that ka = r
3. Show that pq = r
Source:
Question 4 (c)
http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2000exams/hsc00_maths/00mathematics34U.pdf