CAT 2022 : Quant (Slot-2) Video Solutions 🔥 With Detailed Explantion By Maruti Sir (CAT 100%iler)

[@sat.mz06]

please explain in detail how we come up with f(x)= a(x-b)^2+c equation at 13:32

[@jithu5951]

f(x) has real roots, they must be a repeated root (i.e., a double root) so that f(x) touches the x-axis without crossing it. This happens when the polynomial can be factored as a perfect square: