The sales in thousands of dollars that a store can make in one month is

The equation is .

Where No of days after the first day of the month.

.

Substiute in the equation .

The equation can be written as .

Consider .

Identify Possible Rational Zeros:

Usually it is not practical to test all possible zeros of a polynomial function using only synthetic substitution. The Rational Zero Theorem can be used for finding the some possible zeros to test.

Because the leading coefficient is , the possible rational zeros are the intezer factors of the constant term .

Therefore, the possible rational zeros of are .

Consider .

Perform the synthetic substitution method by testing and .

By using synthetic substitution, it can be determined that  is a rational zero.

The depressed polynomial is .

Therefore, is a factor of .

The obtained depressed polynomial has no real zeros.

Therefore, the zero is .

Thus, the store will make 16000 dollars in days.

The store will make 16000 dollars in days.