Ckech whether 4x³+4x²-x-1 is a multiple of (2x+1)
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You can factorize it by:
4x² * (x+1) - 1 * (x+1)
= (4x²-1)(x+1)
=((2x)²-1²)(x+1)
=(2x+1)(2x-1)(x+1) [using a²-b²=(a+b)(a-b)]
Therefore, we can conclude that 4x³+4x²-x-1 is a multiple of (2x+1).
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