JEE MATHEMATICS MCQ: THEORY OF EQUATION

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x = c

is a root of order 2 of a polynomial

f\left( x \right),

then

x = c

is also a root of the polynomial

View answer and explanation

Correct option: A

f'\left( x \right)

Option A (

f'(x)

) is correct because if

x=c

is a root of order 2 of

f(x)

, then

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

, and

f'(x)

will also have

(x-c)

as a factor, making

x=c

a root of

f'(x)

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