Answer:
D
Step-by-step explanation:
This is a game in which you figure out what the terms of the expression have in common. Clearly, x is a common factor, as 108x³ = x(108x²), -117x² = x(117x) and 30x = x(30). Factoring out x, we get:
x(108x² - 117x + 30).
Next, note that 3 is a factor common to 108, 117 and 30, so now we have:
x(108x² - 117x + 30) → 3x(36x² - 27x + 10). Knowing this enables us to eliminate answers A and B, because neither has that factor 3 in it.
Now take a look at D. This is the only answer choice that produces a '10,' which stems from multiplying -2 and -5. So the only possible answer choice is D.
