Question

Find all the real zeros of the polynomial P(x)=x^3 - 5 x + 2

Answer 1

well using the rational root theorem

the zeros will be either, -1, -2, 1 or 2

looks like

x = 2 is a zero since P(2) = 2^3 - 5(2) + 2

P(2) = 0

to find other zeros... perhaps a little synthetic division...