EduSahara™ Assignment
Name : Polynomial Division
Chapter : Factor Theorem
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The quotient when
(
−
8
k
)
is divided by
(
−
4
)
is
(i)
(
−
k
)
(ii)
5
k
(iii)
k
(iv)
2
k
(v)
3
k
Question
2
2.
The quotient when
9
r
2
is divided by
(
r
−
9
)
is
(i)
(
9
r
+
81
)
(ii)
(
11
r
+
81
)
(iii)
(
7
r
+
81
)
(iv)
(
10
r
+
81
)
(v)
(
8
r
+
81
)
Question
3
3.
The quotient when
(
4
z
−
3
)
is divided by
(
z
−
1
)
is
(i)
5
(ii)
1
(iii)
4
(iv)
6
(v)
3
Question
4
4.
The quotient when
(
3
p
2
−
p
+
5
)
is divided by
(
p
−
6
)
is
(i)
(
p
+
17
)
(ii)
(
2
p
+
17
)
(iii)
(
3
p
+
17
)
(iv)
(
5
p
+
17
)
(v)
(
4
p
+
17
)
Question
5
5.
The quotient when
(
−
8
q
2
+
4
q
)
is divided by
(
q
−
2
)
is
(i)
(
−
11
q
−
12
)
(ii)
(
−
5
q
−
12
)
(iii)
(
−
8
q
−
12
)
(iv)
(
−
9
q
−
12
)
(v)
(
−
7
q
−
12
)
Question
6
6.
The quotient when
(
2
a
3
+
4
a
2
−
2
a
)
is divided by
(
a
2
−
10
a
+
21
)
is
(i)
(
3
a
+
24
)
(ii)
(
5
a
+
24
)
(iii)
(
a
+
24
)
(iv)
(
−
a
+
24
)
(v)
(
2
a
+
24
)
Question
7
7.
The quotient when
(
4
s
4
−
9
s
3
−
8
s
2
+
2
s
−
7
)
is divided by
(
s
2
−
5
s
−
14
)
is
(i)
(
7
s
2
+
11
s
+
103
)
(ii)
(
3
s
2
+
11
s
+
103
)
(iii)
(
5
s
2
+
11
s
+
103
)
(iv)
(
4
s
2
+
11
s
+
103
)
(v)
(
s
2
+
11
s
+
103
)
Question
8
8.
The quotient when
(
4
a
5
−
9
a
4
−
3
a
3
+
4
a
2
+
2
a
+
1
)
is divided by
(
a
+
2
)
is
(i)
(
6
a
4
−
17
a
3
+
31
a
2
−
58
a
+
118
)
(ii)
(
4
a
4
−
17
a
3
+
31
a
2
−
58
a
+
118
)
(iii)
(
5
a
4
−
17
a
3
+
31
a
2
−
58
a
+
118
)
(iv)
(
3
a
4
−
17
a
3
+
31
a
2
−
58
a
+
118
)
(v)
(
2
a
4
−
17
a
3
+
31
a
2
−
58
a
+
118
)
Question
9
9.
(
−
6
x
3
+
14
x
2
−
10
x
+
2
)
÷
(
−
3
x
2
+
4
x
−
1
)
=
(i)
(
2
x
+
2
)
(ii)
(
2
x
−
2
)
(iii)
(
−
2
x
−
2
)
(iv)
(
3
x
−
2
)
(v)
(
x
−
2
)
Question
10
10.
(
−
4
x
4
+
2
x
3
+
32
x
2
+
6
x
−
36
)
÷
(
−
2
x
3
−
x
2
+
15
x
+
18
)
=
(i)
(
3
x
−
2
)
(ii)
(
x
−
2
)
(iii)
(
−
2
x
−
2
)
(iv)
(
2
x
+
2
)
(v)
(
2
x
−
2
)
Question
11
11.
(
18
x
5
−
51
x
4
−
33
x
3
+
69
x
2
+
15
x
−
18
)
divided by
(
9
x
3
−
12
x
2
−
39
x
−
18
)
=
(i)
(
2
x
2
−
2
x
+
1
)
(ii)
(
2
x
2
−
4
x
+
1
)
(iii)
(
2
x
2
+
3
x
+
1
)
(iv)
(
2
x
2
−
3
x
+
1
)
(v)
(
2
x
2
−
3
x
−
1
)
Question
12
12.
(
16
x
3
y
4
+
128
x
3
y
3
)
÷
4
x
y
2
=
(i)
(
4
x
2
y
2
+
32
x
2
y
)
(ii)
(
4
x
3
y
4
+
32
x
2
y
)
(iii)
(
4
x
2
y
2
+
32
x
y
2
)
(iv)
(
32
x
2
y
2
z
+
4
x
2
y
2
)
(v)
(
4
x
3
y
3
+
32
x
2
y
)
Question
13
13.
(
4
x
4
y
4
z
3
+
120
x
4
y
3
z
3
+
24
x
3
y
3
z
2
)
÷
2
x
2
y
2
z
=
(i)
(
60
x
2
y
2
z
3
+
2
x
2
y
2
z
2
+
12
x
y
z
)
(ii)
(
2
x
2
y
2
z
2
+
60
x
2
y
z
2
+
12
x
y
z
)
(iii)
(
2
x
3
y
4
z
2
+
60
x
2
y
z
2
+
12
x
y
z
)
(iv)
(
2
x
2
y
2
z
2
+
60
x
y
2
z
2
+
12
x
y
z
)
(v)
(
2
x
3
y
3
z
2
+
60
x
2
y
z
2
+
12
x
y
z
)
Question
14
14.
(
2
x
4
+
2
x
3
)
÷
x
2
(i)
(
2
x
2
−
2
x
)
(ii)
(
2
x
2
+
2
x
)
(iii)
(
−
2
x
2
+
2
x
)
(iv)
(
x
2
+
2
x
)
(v)
(
2
x
2
+
3
x
)
Question
15
15.
(
2
x
4
+
14
x
3
+
20
x
2
)
÷
(
2
x
2
+
4
x
)
(i)
5
x
(ii)
(
x
2
+
5
x
)
(iii)
(
−
x
2
+
5
x
)
(iv)
(
x
2
−
5
x
)
(v)
(
x
2
+
6
x
)
Question
16
16.
(
6
x
4
+
42
x
3
+
84
x
2
+
48
x
)
÷
(
3
x
2
+
18
x
+
24
)
(i)
(
2
x
2
+
2
x
)
(ii)
(
−
2
x
2
+
2
x
)
(iii)
(
2
x
2
+
3
x
)
(iv)
(
2
x
2
+
x
)
(v)
(
2
x
2
−
2
x
)
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (iii)
5) (iii)
6) (v)
7) (iv)
8) (ii)
9) (ii)
10) (v)
11) (iv)
12) (i)
13) (ii)
14) (ii)
15) (ii)
16) (i)
