Problem of the month for April 2013: Apr 12, 2013
Consider the polynomial function p(x) = x^5 - x + 1.
a) How many real zeroes does p have? Bound each of these by their
nearest integers. Justify your answer analytically (i.e., without
calculator or computer).
b) Let a be the smallest real zero of p. Rationalize the denominator
of 1/ (a + 2).
Figure it out? Speak with Professor Herschkorn, he'll be happy to know.