TMUA 2021 Paper 2 Q8 — Worked Solution

P2·Differentiation, Logic & Quantifiers·6.5Official · 2021 · Q8

necessary-sufficientstationary-pointrolle-theorem

Consider the following statement about the polynomial

p (x)

, where

a

and

b

are real numbers with

a < b

(*) There exists a number c with a < c < b such that p^{'} (c) = 0.

Which one of the following is true?

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