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Byju's Answer
Standard VIII
Mathematics
Division of a Polynomial by a Monomial
Solve the fol...
Question
Solve the following when
x
3
+
3
x
2
+
3
x
+
1
is divisible by
x
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Solution
(
x
3
+
3
x
2
+
3
x
+
1
)
÷
x
=
x
3
+
3
x
2
+
3
x
+
1
x
=
x
(
x
2
+
3
x
+
3
)
x
+
1
x
=
x
2
+
3
x
+
3
+
1
x
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Similar questions
Q.
Show that
x
3
−
3
x
2
+
3
x
−
1
is exactly divisible by
(
x
−
1
)
.
Q.
Solve
lim
x
→
1
x
3
+
3
x
2
−
6
x
+
2
x
3
+
3
x
2
−
3
x
−
1
Q.
The polynomial which when divided by −x
2
+ x − 1 gives a quotient x − 2 and remainder 3, is
(a) x
3
− 3x
2
+ 3x − 5
(b) −x
3
− 3x
2
− 3x − 5
(c) −x
3
+ 3x
2
− 3x + 5
(d) x
3
− 3x
2
− 3x + 5