Consider all cubic polynomials f(x) such that f(2018)=2018, the graph of f intersects the y-axis at height 2018, the coefficients of f sum to 2018, and f(2019)>(2018).We define the infinimum of a set S as follows. Let L be the set of lower bounds of S. That is, ℓ∈L if and only if for all s∈S, ℓ≤s. Then the infinimum of S is max(L).Of all such f(x), what is the infinimum of the leading coefficient (the coefficient of the x3 term)? PuMACLive Roundalgebrapolynomial