CATAlgebra > Hard111000Infinite222✅ Correct Option: 2Related questions:CAT 2019 Slot 2What is the largest positive integer such that n2+7n+12n2−n−12\frac{n^2 + 7n + 12}{n^2 - n - 12}n2−n−12n2+7n+12 is also a positive integer?CAT 2017 Slot 2The minimum possible value of the sum of the squares of the roots of the equation x2+(a+3)x−(a+5)=0x^{2}+(a+3) x-(a+5)=0x2+(a+3)x−(a+5)=0 is2025 Slot 1A value of ccc for which the minimum value of f(x)=x2−4cx+8cf(x) = x^2 - 4cx + 8cf(x)=x2−4cx+8c is greater than the maximum value of g(x)=−x2+3cx−2cg(x) = -x^2 + 3cx - 2cg(x)=−x2+3cx−2c, is