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Byju's Answer
Standard XII
Mathematics
nCr Definitions and Properties
x 3 + 3 x 2...
Question
x
3
+
3
x
2
−
3
x
−
1
x
−
1
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Solution
x
3
+
3
x
2
−
3
x
−
1
x
−
1
we have
(
x
−
1
)
3
=
x
3
+
3
x
2
−
3
x
−
1
So,
(
x
−
1
)
3
x
−
1
=
(
x
−
1
)
2
=
x
2
−
2
x
+
1
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Q.
The polynomial which when divided by −x
2
+ x − 1 gives a quotient x − 2 and remainder 3, is
(a) x
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− 3x
2
+ 3x − 5
(b) −x
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(c) −x
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(d) x
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