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Byju's Answer
Standard VIII
Mathematics
Division of a Polynomial by a Polynomial
Divide: 2x5...
Question
Divide:
2
x
5
−
7
x
4
−
2
x
3
+
18
x
2
−
3
x
−
8
by
x
3
−
2
x
2
+
1
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Solution
Steps:
1) Multiply
(
x
3
−
2
x
2
+
1
)
with
2
x
2
, to get
2
x
5
, Remainder
=
−
3
x
4
−
2
x
3
+
16
x
2
−
3
x
2)
Multiply
(
x
3
−
2
x
2
+
1
)
with
−
3
x
, to get
−
3
x
4
, Remainder
=
−
8
x
3
+
16
x
2
−
8
3)
Multiply
(
x
3
−
2
x
2
+
1
)
with
−
8
, to get
=
−
8
x
3
+
16
x
2
−
8
, Remainder
=
0
Suggest Corrections
0
Similar questions
Q.
Divide:
7
x
4
+
4
x
2
+
3
x
−
5
by
2
x
2
+
3
x
−
2
Q.
Divide:
x
6
−
1
by
x
3
−
2
x
2
+
2
x
−
1
Q.
On dividing
f
(
x
)
=
2
x
5
+
3
x
4
+
4
x
3
+
4
x
2
+
3
x
+
2
by a polynomial
g
(
x
)
, where
g
(
x
)
=
x
3
+
x
2
+
x
+
1
, the quotient obtained as
2
x
2
+
x
+
1
. Find the remainder
r
(
x
)
.
Q.
Write the quotient and remainder when we divide:
(2x
3
− 5x
2
+ 8x − 5) by (2x
2
− 3x + 5)