EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The quotient when
(
−
8
p
2
)
is divided by
(
p
+
8
)
is
(i)
(
−
5
p
+
64
)
(ii)
(
−
7
p
+
64
)
(iii)
(
−
9
p
+
64
)
(iv)
(
−
11
p
+
64
)
(v)
(
−
8
p
+
64
)
Question
2
2.
The quotient when
(
−
3
z
−
4
)
is divided by
(
z
+
9
)
is
(i)
(
−
2
)
(ii)
(
−
5
)
(iii)
(
−
3
)
(iv)
(
−
1
)
(v)
(
−
4
)
Question
3
3.
The quotient when
(
4
e
2
−
7
e
−
8
)
is divided by
(
e
+
8
)
is
(i)
(
4
e
−
39
)
(ii)
(
3
e
−
39
)
(iii)
(
e
−
39
)
(iv)
(
5
e
−
39
)
(v)
(
6
e
−
39
)
Question
4
4.
The quotient when
(
−
2
u
2
−
2
u
)
is divided by
(
u
+
3
)
is
(i)
(
−
4
u
+
4
)
(ii)
4
(iii)
(
−
3
u
+
4
)
(iv)
(
−
u
+
4
)
(v)
(
−
2
u
+
4
)
Question
5
5.
The quotient when
(
8
z
5
−
7
z
4
−
2
z
3
+
7
z
2
−
7
z
−
3
)
is divided by
(
z
+
5
)
is
(i)
(
5
z
4
−
47
z
3
+
233
z
2
−
1158
z
+
5783
)
(ii)
(
10
z
4
−
47
z
3
+
233
z
2
−
1158
z
+
5783
)
(iii)
(
9
z
4
−
47
z
3
+
233
z
2
−
1158
z
+
5783
)
(iv)
(
8
z
4
−
47
z
3
+
233
z
2
−
1158
z
+
5783
)
(v)
(
7
z
4
−
47
z
3
+
233
z
2
−
1158
z
+
5783
)
Question
6
6.
The remainder when
6
r
is divided by
(
−
3
)
is
(i)
1
(ii)
(
−
2
)
(iii)
(
−
1
)
(iv)
2
(v)
0
Question
7
7.
The remainder when
(
−
4
h
2
)
is divided by
(
h
−
9
)
is
(i)
(
−
323
)
(ii)
(
−
325
)
(iii)
(
−
326
)
(iv)
(
−
322
)
(v)
(
−
324
)
Question
8
8.
The remainder when
(
9
i
−
7
)
is divided by
(
i
+
9
)
is
(i)
(
−
87
)
(ii)
(
−
89
)
(iii)
(
−
88
)
(iv)
(
−
86
)
(v)
(
−
91
)
Question
9
9.
The remainder when
(
−
6
s
2
−
4
s
)
is divided by
(
s
+
3
)
is
(i)
(
−
42
)
(ii)
(
−
43
)
(iii)
(
−
41
)
(iv)
(
−
39
)
(v)
(
−
45
)
Question
10
10.
The remainder when
(
−
7
f
2
−
8
f
+
5
)
is divided by
(
f
+
9
)
is
(i)
(
−
488
)
(ii)
(
−
489
)
(iii)
(
−
493
)
(iv)
(
−
490
)
(v)
(
−
491
)
Question
11
11.
Find the remainder when
(
6
x
2
+
31
x
+
35
)
is divided by
(
3
x
+
4
)
(i)
11
3
(ii)
13
3
(iii)
5
(iv)
21
5
Question
12
12.
If
f
(
x
)
=
(
18
x
3
+
33
x
2
−
31
x
−
60
)
and
g
(
x
)
=
(
2
x
3
−
9
x
2
−
2
x
+
24
)
have a common factor, find the common factor
(i)
(
3
x
+
5
)
(ii)
(
2
x
+
3
)
(iii)
(
x
−
4
)
(iv)
(
x
−
2
)
(v)
(
3
x
−
4
)
Question
13
13.
If the polynomial
b
x
2
+
a
x
−
15
is divided by
(
2
x
−
3
)
,
it leaves a remainder
(
-26
1
4
)
.
If it is divided by
(
3
x
+
2
)
,
it leaves a remainder
(
-5
2
3
)
.
Find the value of
a
and
b
(i)
-11
,
3
(ii)
-12
,
4
(iii)
-12
,
3
(iv)
2
,
-13
(v)
4
,
-11
Assignment Key
1) (v)
2) (iii)
3) (i)
4) (v)
5) (iv)
6) (v)
7) (v)
8) (iii)
9) (i)
10) (iv)
11) (ii)
12) (ii)
13) (iii)
