IIT JEE 1983 Maths - True or False Q3

Calculus Level 3

True or False?

If \(x-r\) is a factor of the polynomial \(f(x) = a_n x^n + \cdots + a_1 x + a_0\) repeated \(m\) times, with \(1< m \leq n\), then \(r\) is a root of \(f'(x)=0\) repeated \(m\) times.

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