Let #a,b,c,m# and #n# be integers such that #m<n# and define the quadratic function #f(x) = ax^2+bx+c# where #x# is real. Then #f(x)# has a graph that contains the points #(m,0)# and #(n, 2016^2)#. How many values of #n-m# are possible?
1 Answer
Sep 15, 2016
Explanation:
The graph of
Here,
This means that
Therefore,
No. of possible values of
We have used this result : If the prime factorisation of
then