long division find the quotient and the remainder when x4-4x^3+4x^2-3x+4 is divided by (x -1)
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quotient = x^3-3x^2+x-2
remainder = 2
for the long division refer the attachment
to verify ,
dividend = divisor * quotient + remainder
x4-4x3+4x2-3x+4 = x3-3x2+x-2 * x-1 +2
x4-4x3+4x2-3x+4 = x4-4x3+4x2-3x+2+2
x4-4x3+4x2-3x+4 = x4-4x3+4x2-3x+4
l. h. s = r. h. s
hope it is helpful
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