Mathematics · 2019
JEE Main · 9 April 2019, Shift 1 · Q73
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:
If $\displaystyle f(x)$ is a non-zero polynomial of degree four, having local extreme points at $\displaystyle x=-1,0,1$; then the set
$$\mathrm{S}=\{x \in \mathbf{R}: f(x)=f(0)\}
$$
contains exactly :
Official answer
(2)
two irrational and one rational number.
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.