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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?
Meaning of "lines"?