Question

check x-2 is a factor of x power of 3 - 3[x power of 2] +2x-1

Answer 1

take that
g(x) = x-2
p(x) = x³-3x²+2x-1

according to factor theorem if g(x) is the factor of p(x) then p(g) = 0.
x = 2
fill the x value to check
x³-3x²+2x-1 = 0
(2)³-3(2)²+2(2)-1 = 0
8 - 3(4) + 4 -1 = 0
8 -12 +4 -1 = 0
8 +4 -12 -13 = 0
12 -13 = 0
-1 = 0

so p(g) value is not equal to zero so g(x) is not factor of p(x)