find quotient if X + 1 divided by x cube + 3 X square + 3 X + 1
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x² + 2x +1
———————————
X + 1 ) x³ + 3x² + 3x + 1
X³ + x²
(-) ____(-)
-------------------------
2x² + 3x
2x² + 2x
(-) _____(-)
------------------------
x + 1
x + 1
(-)__(-)
- - - - - - - - - -
0 0
Hence,
Q(x) = x² + 2x + 1
x² + 2x +1
———————————
X + 1 ) x³ + 3x² + 3x + 1
X³ + x²
(-) ____(-)
-------------------------
2x² + 3x
2x² + 2x
(-) _____(-)
------------------------
x + 1
x + 1
(-)__(-)
- - - - - - - - - -
0 0
Hence,
Q(x) = x² + 2x + 1
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