Final answer:
The value of the expression -8x^2 + 6x - 2 when x = 2 is -22 after substituting the value of x and simplifying.
Step-by-step explanation:
The value of the expression -8x^2 + 6x - 2 when x = 2 is determined by substituting the value of x into the expression and simplifying. First, you square x, which is 2, to get 4, then you multiply by -8 to get -32 (as both negative signs give a positive result according to rule 6). You then perform the multiplication of 6 by 2 (which is 12, according to rule 5), and lastly, subtract 2. The expression simplifies to -32 + 12 - 2, which equals -22.