Option C: [tex]4(x^{2} -2x+1)[/tex] is the factor
Explanation:
The given expression is [tex]4x^{2} -8x+4[/tex]
We need to determine the factor of the given expression.
The factor of the expression can be determined by taking 4 as a common factor because each term in the trinomial is a multiple of 4.
Hence, factoring the expression becomes,
[tex]4(x^{2} -2x+1)[/tex]
Therefore, the factor of the given expression is [tex]4(x^{2} -2x+1)[/tex]
Hence, Option C is the correct answer.