Final answer:
To find the missing side length of a rectangular prism when given the volume formula, factor the formula to find the possible side lengths. Without more information, it is not possible to determine the specific expression for the missing side length.
Step-by-step explanation:
To find the missing side length of the rectangular prism, we need to manipulate the volume formula given. The volume formula is v = 2x³ + 17x² + 46x + 40. Since the formula represents the volume, we know that the missing side length must be one of the factors of the equation.
We can factor the equation to find the possible factors. By factoring the formula, we get v = (2x + 5)(x + 2)(x + 4). Therefore, the possible side lengths could be 2x + 5, x + 2, or x + 4.
Without more information or context, it is not possible to determine which of these expressions represents the missing side length. The missing side length could be any one of the three expressions.