EduSahara™ Assignment
Name : Polynomial Division
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The quotient of
(
25
a
2
−
30
a
b
+
9
b
2
)
÷
(
−
5
a
+
3
b
)
is
(i)
(
−
5
a
+
5
b
)
(ii)
(
−
4
a
+
3
b
)
(iii)
(
−
6
a
+
3
b
)
(iv)
(
−
5
a
+
3
b
)
(v)
(
−
5
a
+
b
)
Question
2
2.
The quotient of
(
9
a
2
+
12
a
b
+
4
b
2
)
÷
(
−
3
a
−
2
b
)
is
(i)
(
−
3
a
+
b
)
(ii)
(
−
3
a
−
2
b
)
(iii)
(
−
2
a
−
2
b
)
(iv)
(
−
3
a
−
4
b
)
(v)
(
−
4
a
−
2
b
)
Question
3
3.
The quotient of
(
4
a
2
−
b
2
)
÷
(
2
a
−
b
)
is
(i)
(
2
a
−
2
b
)
(ii)
(
3
a
+
b
)
(iii)
(
a
+
b
)
(iv)
(
2
a
+
3
b
)
(v)
(
2
a
+
b
)
Question
4
4.
The quotient of
(
−
64
a
3
+
192
a
2
b
−
192
a
b
2
+
64
b
3
)
÷
(
−
4
a
+
4
b
)
is
(i)
(
17
a
2
−
32
a
b
+
16
b
2
)
(ii)
(
16
a
2
−
32
a
b
+
16
b
2
)
(iii)
(
16
a
2
−
34
a
b
+
16
b
2
)
(iv)
(
16
a
2
−
29
a
b
+
16
b
2
)
(v)
(
15
a
2
−
32
a
b
+
16
b
2
)
Question
5
5.
The quotient of
(
−
125
a
3
+
300
a
2
b
−
240
a
b
2
+
64
b
3
)
÷
(
−
5
a
+
4
b
)
is
(i)
(
25
a
2
−
40
a
b
+
16
b
2
)
(ii)
(
24
a
2
−
40
a
b
+
16
b
2
)
(iii)
(
26
a
2
−
40
a
b
+
16
b
2
)
(iv)
(
25
a
2
−
38
a
b
+
16
b
2
)
(v)
(
25
a
2
−
42
a
b
+
16
b
2
)
Question
6
6.
The quotient of
(
9
a
2
+
12
a
b
+
18
a
c
+
4
b
2
+
12
b
c
+
9
c
2
)
÷
(
3
a
+
2
b
+
3
c
)
is
(i)
(
3
a
+
4
b
+
3
c
)
(ii)
(
2
a
+
2
b
+
3
c
)
(iii)
(
4
a
+
2
b
+
3
c
)
(iv)
(
3
a
+
2
b
+
3
c
)
(v)
(
3
a
−
b
+
3
c
)
Question
7
7.
The quotient of
(
27
a
3
−
125
b
3
)
÷
(
3
a
−
5
b
)
is
(i)
(
9
a
2
+
13
a
b
+
25
b
2
)
(ii)
(
9
a
2
+
15
a
b
+
25
b
2
)
(iii)
(
8
a
2
+
15
a
b
+
25
b
2
)
(iv)
(
10
a
2
+
15
a
b
+
25
b
2
)
(v)
(
9
a
2
+
17
a
b
+
25
b
2
)
Question
8
8.
The quotient of
(
−
27
a
3
+
125
b
3
)
÷
(
−
3
a
+
5
b
)
is
(i)
(
9
a
2
+
12
a
b
+
25
b
2
)
(ii)
(
9
a
2
+
17
a
b
+
25
b
2
)
(iii)
(
9
a
2
+
15
a
b
+
25
b
2
)
(iv)
(
8
a
2
+
15
a
b
+
25
b
2
)
(v)
(
10
a
2
+
15
a
b
+
25
b
2
)
Question
9
9.
The quotient of
(
27
a
3
+
180
a
b
c
+
64
b
3
−
125
c
3
)
÷
(
3
a
+
4
b
−
5
c
)
is
(i)
(
9
a
2
−
14
a
b
+
15
a
c
+
16
b
2
+
20
b
c
+
25
c
2
)
(ii)
(
8
a
2
−
12
a
b
+
15
a
c
+
16
b
2
+
20
b
c
+
25
c
2
)
(iii)
(
9
a
2
−
10
a
b
+
15
a
c
+
16
b
2
+
20
b
c
+
25
c
2
)
(iv)
(
10
a
2
−
12
a
b
+
15
a
c
+
16
b
2
+
20
b
c
+
25
c
2
)
(v)
(
9
a
2
−
12
a
b
+
15
a
c
+
16
b
2
+
20
b
c
+
25
c
2
)
Question
10
10.
If
(
a
+
b
)
✕
A =
(
a
2
+
2
a
b
+
b
2
)
,
then A =
(i)
b
(ii)
(
a
+
b
)
(iii)
(
a
+
3
b
)
(iv)
(
a
−
2
b
)
(v)
(
2
a
+
b
)
Question
11
11.
If
(
−
4
a
+
b
)
✕
A =
(
16
a
2
−
8
a
b
+
b
2
)
,
then A =
(i)
(
−
5
a
+
b
)
(ii)
(
−
4
a
−
b
)
(iii)
(
−
3
a
+
b
)
(iv)
(
−
4
a
+
b
)
(v)
(
−
4
a
+
3
b
)
Question
12
12.
If
(
5
a
+
3
b
)
✕
A =
(
25
a
2
−
9
b
2
)
,
then A =
(i)
(
5
a
−
6
b
)
(ii)
(
5
a
−
3
b
)
(iii)
(
6
a
−
3
b
)
(iv)
(
4
a
−
3
b
)
(v)
(
5
a
−
b
)
Question
13
13.
If
(
5
a
−
5
b
)
✕
A =
(
125
a
3
−
375
a
2
b
+
375
a
b
2
−
125
b
3
)
,
then A =
(i)
(
25
a
2
−
52
a
b
+
25
b
2
)
(ii)
(
25
a
2
−
50
a
b
+
25
b
2
)
(iii)
(
24
a
2
−
50
a
b
+
25
b
2
)
(iv)
(
26
a
2
−
50
a
b
+
25
b
2
)
(v)
(
25
a
2
−
48
a
b
+
25
b
2
)
Question
14
14.
If
(
a
+
5
b
)
✕
A =
(
a
3
+
15
a
2
b
+
75
a
b
2
+
125
b
3
)
,
then A =
(i)
(
a
2
+
12
a
b
+
25
b
2
)
(ii)
(
a
2
+
10
a
b
+
25
b
2
)
(iii)
(
a
2
+
8
a
b
+
25
b
2
)
(iv)
(
2
a
2
+
10
a
b
+
25
b
2
)
(v)
(
10
a
b
+
25
b
2
)
Question
15
15.
If
(
a
+
5
b
−
4
c
)
✕
A =
(
a
2
+
10
a
b
−
8
a
c
+
25
b
2
−
40
b
c
+
16
c
2
)
,
then A =
(i)
(
a
+
2
b
−
4
c
)
(ii)
(
2
a
+
5
b
−
4
c
)
(iii)
(
a
+
8
b
−
4
c
)
(iv)
(
5
b
−
4
c
)
(v)
(
a
+
5
b
−
4
c
)
Question
16
16.
If
(
−
5
a
−
5
b
)
✕
A =
(
−
125
a
3
−
125
b
3
)
,
then A =
(i)
(
25
a
2
−
25
a
b
+
25
b
2
)
(ii)
(
24
a
2
−
25
a
b
+
25
b
2
)
(iii)
(
25
a
2
−
28
a
b
+
25
b
2
)
(iv)
(
25
a
2
−
22
a
b
+
25
b
2
)
(v)
(
26
a
2
−
25
a
b
+
25
b
2
)
Question
17
17.
If
(
−
2
a
−
2
b
)
✕
A =
(
−
8
a
3
−
8
b
3
)
,
then A =
(i)
(
4
a
2
−
4
a
b
+
4
b
2
)
(ii)
(
4
a
2
−
6
a
b
+
4
b
2
)
(iii)
(
5
a
2
−
4
a
b
+
4
b
2
)
(iv)
(
4
a
2
−
a
b
+
4
b
2
)
(v)
(
3
a
2
−
4
a
b
+
4
b
2
)
Question
18
18.
If
(
3
a
+
b
−
2
c
)
✕
A =
(
27
a
3
+
18
a
b
c
+
b
3
−
8
c
3
)
,
then A =
(i)
(
9
a
2
−
3
a
b
+
6
a
c
+
b
2
+
2
b
c
+
4
c
2
)
(ii)
(
9
a
2
−
a
b
+
6
a
c
+
b
2
+
2
b
c
+
4
c
2
)
(iii)
(
8
a
2
−
3
a
b
+
6
a
c
+
b
2
+
2
b
c
+
4
c
2
)
(iv)
(
9
a
2
−
6
a
b
+
6
a
c
+
b
2
+
2
b
c
+
4
c
2
)
(v)
(
10
a
2
−
3
a
b
+
6
a
c
+
b
2
+
2
b
c
+
4
c
2
)
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (ii)
5) (i)
6) (iv)
7) (ii)
8) (iii)
9) (v)
10) (ii)
11) (iv)
12) (ii)
13) (ii)
14) (ii)
15) (v)
16) (i)
17) (i)
18) (i)
