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Byju's Answer
Standard IX
Mathematics
Remainder Theorem
Find the rema...
Question
Find the remainder when dividing the polynomial
x
4
+
x
3
−
3
x
2
+
3
x
+
1
by the following one degree expression.
x
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Solution
Let
p
(
x
)
=
x
4
+
x
3
−
3
x
2
+
3
x
+
1
zero of
x
is
0
∴
p
(
0
)
=
(
0
)
4
+
(
0
)
3
−
3
(
0
)
2
+
3
(
0
)
+
1
=
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
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