verify division algorithm when x^4-3x^2+4x+5/x^2+1-x
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Answer:
X²-x+1 ) x⁴-3x²+4x+5 (x²+x-3
.............. x⁴+1x² -x³
...............- -. +
.............. x³-4x²+4x
............. x³-1x²+ 1x
.............. - + -
.............. -3x²+3x+5
.....................-3x²+3x-3
.....................+ - +
..................... 8
Hence Remainder is 8
Quotient is x²-x+3
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