Question

Check whether x minus 2 is a factor of x cube minus 3x square + 3 x minus 2

Answer 1

Yes,

Answer is

x^2-x+1

Answer 2

X-2=0

X=2

P(X)=x^3-3x^2+3x-2

Putting the value of X=2

=2^3-3×2^2+3×2-2

=8-12+6-2

=-14+14

=0

So x-2 is a factor