Question

Factor completely 4x^2-8x+4

A. Prime
B. 4x(x^2-2x+1)
C. 4(x^2-2x+1)
D. 4(x^2+4)

Answer 1

The correct answer is C. 4(x^2-2x+1).

To factor the expression 4x^2-8x+4, first factor out the greatest common factor of 4.

4(x^2-2x+1)

The expression inside the parentheses can be factored using the quadratic formula or by recognizing that it is a perfect square trinomial.

(x-1)^2

Therefore, the fully factored expression is:

4(x-1)^2.

Answer 2

None. You can factor out the 4 to get 4(x^2-2x+1). This then can be factored to 4(x^-1)^2