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Factor completely 4x2 − 8x + 4.

A) Prime
B) 4x(x2 − 2x + 1)
C) 4(x2 − 2x + 1)
D) 4(x2 + 4)

Respuesta :

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.