The correct option for the given statement is that (x-2) is a factor of [tex]5x^{2} -16x+12[/tex].
What is a factor?
It is a number by which the number whose it is a factor can be divided.
How to divide an equation?
To check factor of an equation we need to divide it with so to check (x-2) a factor of [tex]5x^{2} -16x+12[/tex] we need to divide the equation by x-2
=( [tex]5x^{2} -16x+12[/tex])/x-2
=5x-6
So it is a factor of the given equation.
Learn more about factor at https://brainly.com/question/25829061
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