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Posted by **t** on Tuesday, September 27, 2011 at 3:24pm.

Show that c is a multiple root of f(x) if and only if c is a root of both f(x) and f'(x)

- calc -
**Steve**, Tuesday, September 27, 2011 at 3:44pmonly if:

f(x) = (x-c)^2 h(x)

f'(x) = 2(x-c) h(x) + (x-c)^2 * h'(x)

= (x-c) * (2h + (x-c)*h^2)

This should get you going. The "if" logic kind of works backwards from here.

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