check whether the polynomial t+1 is a factor of 4t^3+4t^2-t-1
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Answer:
4t^3+4t^2-t-1
=4t^2(t+1)-1(t+1)
=(t+1)(4t^2-1)
=(t+1){(2t)^2-(1)^2}
=(t+1)(2t+1)(2t-1)
so , (t+1) is a factor of the above polynomial
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