EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The quotient when
(
−
2
w
2
)
is divided by
(
w
−
2
)
is
(i)
(
−
3
w
−
4
)
(ii)
(
−
w
−
4
)
(iii)
(
w
−
4
)
(iv)
(
−
5
w
−
4
)
(v)
(
−
2
w
−
4
)
Question
2
2.
The quotient when
(
−
5
i
+
1
)
is divided by
(
i
−
6
)
is
(i)
(
−
6
)
(ii)
(
−
5
)
(iii)
(
−
4
)
(iv)
(
−
8
)
(v)
(
−
3
)
Question
3
3.
The quotient when
(
−
6
r
2
−
8
r
−
1
)
is divided by
(
r
−
2
)
is
(i)
(
−
5
r
−
20
)
(ii)
(
−
6
r
−
20
)
(iii)
(
−
3
r
−
20
)
(iv)
(
−
7
r
−
20
)
(v)
(
−
9
r
−
20
)
Question
4
4.
The quotient when
(
3
s
2
+
8
s
)
is divided by
(
s
−
7
)
is
(i)
(
3
s
+
29
)
(ii)
(
s
+
29
)
(iii)
(
4
s
+
29
)
(iv)
(
5
s
+
29
)
(v)
(
2
s
+
29
)
Question
5
5.
The quotient when
(
3
j
5
+
8
j
4
+
2
j
3
+
9
j
2
−
9
j
−
8
)
is divided by
(
j
+
4
)
is
(i)
(
4
j
4
−
4
j
3
+
18
j
2
−
63
j
+
243
)
(ii)
(
−
4
j
3
+
18
j
2
−
63
j
+
243
)
(iii)
(
3
j
4
−
4
j
3
+
18
j
2
−
63
j
+
243
)
(iv)
(
6
j
4
−
4
j
3
+
18
j
2
−
63
j
+
243
)
(v)
(
2
j
4
−
4
j
3
+
18
j
2
−
63
j
+
243
)
Question
6
6.
The remainder when
5
k
is divided by
(
−
3
)
is
(i)
0
(ii)
2
(iii)
(
−
1
)
(iv)
1
(v)
(
−
2
)
Question
7
7.
The remainder when
9
c
2
is divided by
(
c
−
8
)
is
(i)
575
(ii)
577
(iii)
579
(iv)
576
(v)
574
Question
8
8.
The remainder when
(
3
n
+
1
)
is divided by
(
n
+
7
)
is
(i)
(
−
17
)
(ii)
(
−
20
)
(iii)
(
−
19
)
(iv)
(
−
21
)
(v)
(
−
23
)
Question
9
9.
The remainder when
(
5
f
2
−
f
)
is divided by
(
f
+
2
)
is
(i)
22
(ii)
24
(iii)
19
(iv)
23
(v)
21
Question
10
10.
The remainder when
(
−
9
t
2
−
7
t
+
8
)
is divided by
(
t
−
6
)
is
(i)
(
−
355
)
(ii)
(
−
357
)
(iii)
(
−
358
)
(iv)
(
−
359
)
(v)
(
−
360
)
Question
11
11.
Find the remainder when
(
3
x
2
−
20
x
−
7
)
is divided by
(
x
−
9
)
(i)
53
(ii)
55
(iii)
59
(iv)
57
(v)
56
Question
12
12.
If
f
(
x
)
=
(
4
x
3
−
18
x
2
+
20
x
−
6
)
and
g
(
x
)
=
(
2
x
3
−
7
x
2
+
2
x
+
3
)
have a common factor, find the common factor
(i)
(
2
x
−
2
)
(ii)
(
x
−
3
)
(iii)
(
x
−
1
)
(iv)
(
2
x
−
1
)
(v)
(
2
x
+
1
)
Question
13
13.
If the polynomial
a
x
2
+
4
x
+
b
is divided by
(
x
−
1
)
,
it leaves a remainder
5
.
If it is divided by
(
3
x
+
3
)
,
it leaves a remainder
-3
.
Find the value of
a
and
b
(i)
-4
,
3
(ii)
-2
,
5
(iii)
5
,
-3
(iv)
4
,
-2
(v)
4
,
-3
Assignment Key
1) (v)
2) (ii)
3) (ii)
4) (i)
5) (iii)
6) (i)
7) (iv)
8) (ii)
9) (i)
10) (iii)
11) (v)
12) (ii)
13) (v)
