Q1.Consider the polynomial p(x)=anxn+⋯+a1x+a0, where ai∈R and an=0. Suppose x0∈R is the smallest root of p. From the options below, choose the conditions that ensure that p(x) is strictly decreasing in (−∞,x0).
Save
Check
Details
Q1
15 Mar 2026
Q1.Consider the polynomial p(x)=anxn+⋯+a1x+a0, where ai∈R and an=0. Suppose x0∈R is the smallest root of p. From the options below, choose the conditions that ensure that p(x) is strictly decreasing in (−∞,x0).