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Question

The remainder obtained when the polynomial px is divided by (b-ax) is


A

p-ba

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B

pab

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C

pba

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D

p-ab

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Solution

The correct option is C

pba


Determine the remainder

If fx is divided by x+c, then the remainder is f-c.[x+c=x-(-c)]

The divisor here is x+c=b-ax.

x+c=-ax-b=-ax-baFormx-cwithc=ba

By remainder theorem, when p(x) is divided by b-ax, then the remainder is pba.

Hence, the correct option is option C.


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