Verify Rolle's Theorem for f(x) = (x-2)²(x+1) on the interval [1, 2]

Math Problem Statement

Verify Rolle's theorem: for f(x)=(x-2)2(x+1); XE [1,2]

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Calculus
Rolle's Theorem
Polynomial Functions

Rolle's Theorem: If f(a) = f(b) and f'(c) = 0 for some c ∈ (a, b), then there exists a point c such that f'(c) = 0.

Rolle's Theorem

Grades 11-12

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