divide x4 - 3x square + 4x+5 by x square - x + 1, find the quotient and remainder
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x⁴ -3x² +4x +5 divided by (x² -x +1)
x²-x +1 ) x⁴-3x² + 4x +5 ( x² +x -3
x⁴ -x³ +x²
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x³ -4x² + 4x
x³ -x² + x
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-3x² +3x + 5
-3x² +3x -3
==============
8
hence, quotient = x² + x -3
and remainder = 8
x²-x +1 ) x⁴-3x² + 4x +5 ( x² +x -3
x⁴ -x³ +x²
==============
x³ -4x² + 4x
x³ -x² + x
==========
-3x² +3x + 5
-3x² +3x -3
==============
8
hence, quotient = x² + x -3
and remainder = 8
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