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Question

If p(x) = 2x2 + 2x + 5 is divided by (2x 1), then the remainder is ________.


A

7/2

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B

10/2

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C

13/2

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D

1

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Solution

The correct option is C

13/2


Consider p(x) = 2x2 + 2x + 5

The remainder is p(12)

p(12) = 2(12)2 + 2(12) + 5

= 2 × (14) + 1 + 5

= 612 = 132

Therefore, the remainder is 132.


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