The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $
45 to rent a table for one day and a total of $90 to rent a table for four days, which of the following equations represents the total cost (c) to rent a table at the flea market for (d) days?
For this problem, we are going to use the Remainder Theorem. This says that for to be a factor of a polynomial , then . Essentially, it says that is a factor if when you substitute into the polynomial you get a result of 0.
Thus, in our case, when we substitute into the polynomial, we should get an answer of 0 if is a factor of the polynomial. Given this information, we can solve for :