How many polynomials are there of the form x3rd - 8x2round + cx + d such
that c and d are real numbers and the three roots of the polynomial are
distinct positive integers?  Choose the correct choice from the following choices:	A) 0	B) 1	C) 1	D) 2	E) 5
The sum of the roots of the polynomial is 8. Since the roots are distinct   positive integers, then they are either 1, 2, 5 or 1, 3, 4. Thus, the polynomial is either   (x − 1)(x − 2)(x − 5) or (x − 1)(x − 3)(x − 4).   correct answer 1
<result>C</result>
How many polynomials are there of the form x3rd - 8x2round + cx + d such
that c and d are real numbers and the three roots of the polynomial are
distinct positive integers?