Answer:
To determine the value of W, we need to find the value of x that satisfies the given condition.
If (x-4) is a factor of X^2 - X - W = 0, it means that when we substitute x = 4 into the equation, it should equal zero.
Let's substitute x = 4 into the equation:
(4)^2 - (4) - W = 0
16 - 4 - W = 0
12 - W = 0
To solve for W, we isolate the variable:
W = 12
Therefore, the value of W is 12.