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If f(x) is divided by (x-alpha ) ( x-bet...

If `f(x)` is divided by `(x-alpha ) ( x-beta)` where `alpha cancel(=)beta`, then what is the remainder?

A

`((x - alpha ) f(alpha) - ( x - beta ) f (beta))/(alpha -beta)`

B

`((x - alpha ) f( beta) - ( x - beta) f ( alpha))/( alpha - beta)`

C

`(( x - beta ) f ( alpha ) ( x- alpha ) f ( beta))/(alpha - beta )`

D

`(( x - beta) f(beta ) - ( x - alpha ) f( alpha ) )/( alpha - beta )`

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