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For second degree polynomial it is seen that the roots are equal. Then what is the relation between the Rolles point c and the root x?

For second degree polynomial it is seen that the roots are equal. Then what is the relation between the Rolles point c and the root x? Correct Answer c = x

For a polynomial with equal roots we can write the polynomial as f(x) = (x – a)2 Where a is the repeated root. Differentiating it and equating the function to zero we get the Rolles point, f'(x) = 2(x – a) = 0 x = a = c.

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