Division of Algebraic Expressions - Exercise 8.3 | Mathematics (Maths) Class 8 PDF Download

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Question:12
Divide x + 2x
2
 + 3x
4
 - x
5
 by 2x.
Solution:
x+2x
2
+3x
4
-x
5
2x
=
x
2x
+
2x
2
2x
+
3x
4
2x
-
x
5
2x
=
1
2
+x +
3
2
x
3
-
1
2
x
4
                                                                                   
Question:13
Divide y
4
-3y
3
+
1
2
y
2
 by 3y
.
Solution:
y
4
-3y
3
+
1
2
y
2
3y
=
y
4
3y
-
3y
3
3y
+
1
2
y
2
3y
=
1
3
y
(4-1)
-y
(3-1)
+
1
6
y
(2-1)
=
1
3
y
3
-y
2
+
1
6
y
Question:14
Divide -4a
3
 + 4a
2
 + a by 2a.
Solution:
-4a
3
+4a
2
+a
2a
=
-4a
3
2a
+
4a
2
2a
+
a
2a
= -2a
(3-1)
+2a
(2-1)
+
1
2
= -2a
2
+2a +
1
2
                                                                       
Question:15
Divide -x
6
+2x
4
+4x
3
+2x
2
 by v 2x
2
.
Solution:
-x
6
+2x
4
+4x
3
+2x
2
v
2x
2
=
-x
6
v
2x
2
+
2x
4
v
2x
2
+
4x
3
v
2x
2
+
2x
2
v
2x
2
=
-1
v
2
x
(6-2)
+ v 2x
(4-2)
+2v 2x
(3-2)
+ v 2x
(2-2)
=
-1
v
2
x
4
+ v 2x
2
+2v 2x + v 2
                                            
                                            
Question:16
Divide 5z
3
 - 6z
2
 + 7z by 2z.
Solution:
5z
3
-6z
2
+7z
2z
=
5z
3
2z
-
6z
2
2z
+
7z
2z
=
5
2
z
(3-1)
-3z
(2-1)
+
7
2
=
5
2
z
2
-3z +
7
2
                                                                
Question:17
Divide v 3 a
4
+2v 3 a
3
+3a
2
-6a by 3a
.
Solution:
v
3a
4
+2
v
3a
3
+3a
2
-6a
3a
=
v
3a
4
3a
+
2
v
3a
3
3a
+
3a
2
3a
-
6a
3a
=
1
v
3
a
(4-1)
+
2
v
3
a
(3-1)
+a
(2-1)
-2 =
1
v
3
a
3
+
2
v
3
a
2
+a -2