If f(x) is a non-zero polynomial of degree four, having local extreme points at x = −1, 0, 1; then the set S...

Question

If f(x) is a non-zero polynomial of degree four, having local extreme points at x = −1, 0, 1; then the set S = x R : f(x) = f(0) contains exactly:

Accepted Answer

(C)

JEE Main 2019 Mathematics question