Find all zeros of P, real and complex.

Question

P(x) = x³ + x² + 2x

(Enter your answers as a comma-separated list. Enter all answers including repetitions.)

Answer 1

x^3 +x^2+ 2x

=x(x^2+x+2)

set each factor=0

x=0, x^2+x+2=0

x=0, -1/2 +/-(1/2)sqr(1-8)

x=0, -1/2 - (i/2)sqr7, -1/2-(i/2)sqr7

or

x=0, (-1-isqr7)/2, (-1+isqr7)/2