Question

Showthatp(x)=x3 –3x2 +2x–6hasonlyonerealzero.

Answer 1

Answer:

x^3-3x^2+2x-6=0

x^2(x-3)+2(x-3)=0

(x-3)(x^2+2)=0

x-3=0 or x^2+2=0

X=3 or x^2=-2

X=3 or X= √-2 (not valid because it is not a real number)

therefore it has only real zero