Find the smallest integer value of n such that n^2-5n-14 is negative.
n^2 - 5n - 14 < 0 factor
(n - 7) ( n + 2) < 0
The function will be negative on the interval ( -2, 7)
So.....the smallest integer that makes the function negative is n = -1
I agree! We can just factor it into (n-7)(n+2).
So the smallest value that will make this function true is -1.