Find the product of all positive integer values of c such that 3x^2 + 17x + c has two real roots.
+124718 3x^2 + 17x + c
If we have two real roots, the discriminant is > 0
So
17^2 - 4 * 3 * c > 0
289 > 12c
289 / 12 > c
Which implies that
0 > c > 289/12 where c is an integer
0 > c < 24+ 1/12
The product of all integer c's that make this true = 24! = 620448401733239439360000
