Polynomial function facts for JEE

Formula

\[p(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_0\]

Variables: \(a_n\neq 0\), degree \(n\).

Conditions: Defined for all real \(x\).

Continuity, differentiability, graph shape, end behavior and derivative computations.