Polynomials question?

Question

A polynomial with REAL coefficients and with two integer zeros is given in the form:

P(x) = x^4 + ax³ + bx² + cx - 10

Given that the complex zeroes are (1 + ki) and (1 - ki), use this to write an expression for a real quadratic factor of the polynomial.

Hence, find all possible values of k whereby the quadratic is a factor of the polynomial.

Answer 1

I don't know--- but here's an amusing cartoon (related of course):

http://www.spinnerdisc.com/einstein3.htm...

^__^