Answer:
Since P(2) ≠ 0 so polynomial (x-2) is not a factor of the polynomial 3x^2-8x+2
Hence The statement is false.
Explanation:
if x-2 is a factor then
x-2=0
x = 2
Putting x = 2 in the given equation, we should get 0 as result if x-2 is a factor
Given Polynomial: 3x^2-8x+2
Put x = 2
P(2) = 3(2)^2-8(2)+2
P(2) = 3(4) - 16 + 2
P(2) = 12 - 16 + 2
P(2) = 14-16
P(2) = -2
Since P(2) ≠ 0 so polynomial (x-2) is not a factor of the polynomial 3x^2-8x+2
Hence The statement is false.