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Question

Divide the polynomial 3x44x33x1 by x-1 and then find the remainder.


A

-4

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B

-5

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C

-6

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D

-7

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Solution

The correct option is B

-5


Substitute x - 1 = 0 in the given polynomial

Remainder = 3×1-4×1-3×1-1= -5

Alternative

By division algorithm


3x3x2x4x13x44x33x13x43x3–––––––––2x33x1x3+x2––––––––x23x1x2+x–––––––4x14x+4–––––––5


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