Find the quotient and remainder when 3x4 - 4x3 -3x - 1 is divided by x- 1. also verify the remainder obtained by remainder theorem.

So the quotient is: 3x^3 -x^2 +x -4
and the remainder is: -5

verifying the remainder:
P (+1)= 3(1)^4 - 4(1)^3 - 3(1) - 1
P (+1) = 3 - 4 - 3 -1
P (+) = -5

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