JEE MATHEMATICS MCQ: THEORY OF EQUATION

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x - c

is a factor of order m of the polynomial

f\left( x \right)

of degree

n\left( {1 < m < n} \right),

then

x = c

is a root of the polynomial

View answer and explanation

Correct option: B

{f^{m - 1}}\left( x \right)

Option B (

{f^{m - 1}}(x)

) is correct because if

(x-c)

is a factor of order m of

f(x)

, then

x=c

is a root of

f(x)

and its first m-1 derivatives.

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