The polynomial (x-2) is a factor of the polynomial 3x^2-8x+2

true or false

Since P (2) ≠ 0 so polynomial (x-2) is not a factor of the polynomial 3x^2-8x+2

Hence The statement is false.

Step-by-step 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.