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Answer» I)
6x^2 + x - 12
_________________
x-1 |6x^3 + 5x^2 - 13x + 12
6x^3 - 6x^2
(-) (+)
----------------------------------
x^2 - 13x +12
x^2 - x
(-) (+)
----------------------------------
-12x + 12
-12x + 12
(+) (-)
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0
(ii)
3a^2 - 19A + 30
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3.a+1 |9a^3 - 27a^2 - 100a + 300
9a^3 + 30a^2
(-) (-)
----------------------------------
-57a^2 - 100a +300
-57a^2 - 190a
(+) (+)
----------------------------------
90a + 300
90 + 300
(-) (-)
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0
(iii)
x^2 - x + 2
_________________
x-2 |x^3 - 3x^2 + 4x - 5
x^3 - 2X^2
(-) (+)
----------------------------------
- x^2 + 4x - 5
- x^2 + 2x
(+) (-)
----------------------------------
2x - 5
2x - 4
(-) (+)
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-1
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