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If f(x) is divided by (x – α)(x – β) where α ≠ β, then what is the remainder?

Mathematics 2020 CDS Elementary Mathematics 2020 CDS 2020

Options

A

[(x – α)f(α) – (x – β)f(β)] / (α – β)

B

[(x – α)f(β) – (x – β)f(α)] / (α – β)

C

[(x – β)f(α) – (x – α)f(β)] / (α – β)

D

[(x – β)f(β) – (x – α)f(α)] / (α – β)

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