- #1

- 673

- 29

Is it true? Could you prove it?

Note: The converse is true and can be proved easily.

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- I
- Thread starter Happiness
- Start date

- #1

- 673

- 29

Is it true? Could you prove it?

Note: The converse is true and can be proved easily.

- #2

mfb

Mentor

- 35,908

- 12,733

Looks quite trivial to me.

- #3

- #4

- 21,494

- 12,806

It's trivial if we know what to use.

I managed to prove it using factor theorem. But I guessed I wanted to see if there is a more elementary proof when I posted the question. And then I found an elementary proof for factor theorem.

If ##f(c) = 0## then ##f(x) = (x-c)g(x)## and ##f'(x) = g(x) + (x-c)g'(x) \dots##

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