Is 2t+1 a factor of 4 $t^{3}$ +4 $t^{2}$ -t-1?

True

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False

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For t=7 only

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Can't say

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Solution

The correct option is A
True

From remainder theorem, if 2t+1 is a factor of 4 $t^{3}$ +4 $t^{2}$ -t-1 then on substituting t=-1/2, we get remainder zero. So 2t+1 is a factor of the given polynomial.

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