(22) 2x² - 6x + 8

Step 1: Identify the given expression. The expression to be factored is $x^2 - 10x - 4x + 8$.

Step 2: Simplify the expression by combining like terms. Combine the terms with $x$: $-10x - 4x = -14x$. The expression becomes $x^2 - 14x + 8$.

Step 3: Attempt to factor the quadratic trinomial $x^2 - 14x + 8$. We need to find two numbers that multiply to the constant term $(8)$ and add up to the coefficient of the middle term $(-14)$. Let's list the integer factors of 8 and their sums:

• $1 \times 8 = 8$, $1 + 8 = 9$
• $-1 \times -8 = 8$, $-1 + (-8) = -9$
• $2 \times 4 = 8$, $2 + 4 = 6$
• $-2 \times -4 = 8$, $-2 + (-4) = -6$ None of these pairs sum to -14.

Since no such integer pair exists, the quadratic trinomial $x^2 - 14x + 8$ cannot be factored further into linear factors with integer coefficients.

The expression in its simplest factored form (which is just the simplified expression itself) is $\boxed{x^2 - 14x + 8}$.