Solving for the Area of a Rectangle

The area of a rectangle is given by its length multiplied by its width. So, we need to find two numbers that add up to -10x and multiply to -8.

The two numbers (3x + 2)(x – 4) satisfy both conditions. They add up to -10x and multiply to -8. Therefore, the expression (3x + 2)(x – 4) can also be used to represent the area of the same rectangle.

The other three expressions do not satisfy both conditions. For example, the expression (3x + 4)(x – 2) adds up to 3x – 8, which is not equal to -10x.

Therefore, the correct answer is (2), (3x + 2)(x – 4).