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Question

Find the remainder when q(t) = 4t3 + 4t2 – t - 1 is divided by 2t + 1


A

-1

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B

1

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C

2

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D

0

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Solution

The correct option is D

0


Zero of 2t + 1 is given by 2t + 1 = 0

=> t = -1/2

q (-1/2 ) = 4 (-1/2)3 + 4 (-1/2)2 - (-1/2) - 1 = -1/2 + 1 + 1/2 - 1 = 0


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