# 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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