To find one factor of the quadratic expression $4x^2 - 8x + 4$, let's start by factoring the expression.

First, observe that all the coefficients have a common factor of 4, so we can factor out the 4:

$4x^2 - 8x + 4 = 4(x^2 - 2x + 1)$

Next, we factor the quadratic expression inside the parentheses:

$x^2 - 2x + 1 = (x - 1)(x - 1) = (x - 1)^2$

Therefore, the original expression can be factored as:

$4(x^2 - 2x + 1) = 4(x - 1)^2$

One factor of the expression $4x^2 - 8x + 4$ is $x - 1$.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How do you find the other factor of a quadratic expression?
2. What is the general method for factoring a quadratic expression?
3. Can all quadratic expressions be factored over the real numbers?
4. How can the quadratic formula be used to factor a quadratic expression?
5. What are the applications of factoring quadratic expressions?

Tip: Always look for common factors before attempting to factor a quadratic expression. This simplifies the process.