To work backwards and identify the original polynomial from its factored form using the Distributive Property, we need to multiply the factors together.
Using the Distributive Property, we can multiply the first term of the first factor by each term in the second factor, and then add the results:
(2 + 5)(x + 7) = 2(x) + 2(7) + 5(x) + 5(7)
Simplifying this expression, we get:
(2 + 5)(x + 7) = 2x + 14 + 5x + 35
Combining like terms, we get:
(2 + 5)(x + 7) = 7x + 49
Therefore, the original polynomial that was factored as (2 + 5)(x + 7) is 7x + 49.