EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The quotient when
(
−
5
r
2
)
is divided by
(
r
+
2
)
is
(i)
(
−
5
r
+
10
)
(ii)
(
−
6
r
+
10
)
(iii)
(
−
4
r
+
10
)
(iv)
(
−
3
r
+
10
)
(v)
(
−
7
r
+
10
)
Question
2
2.
The quotient when
(
−
9
d
+
7
)
is divided by
(
d
−
4
)
is
(i)
(
−
6
)
(ii)
(
−
8
)
(iii)
(
−
12
)
(iv)
(
−
9
)
(v)
(
−
10
)
Question
3
3.
The quotient when
(
9
i
2
+
i
+
4
)
is divided by
(
i
+
2
)
is
(i)
(
9
i
−
17
)
(ii)
(
10
i
−
17
)
(iii)
(
12
i
−
17
)
(iv)
(
8
i
−
17
)
(v)
(
6
i
−
17
)
Question
4
4.
The quotient when
(
−
9
m
2
−
9
m
)
is divided by
(
m
+
9
)
is
(i)
(
−
9
m
+
72
)
(ii)
(
−
10
m
+
72
)
(iii)
(
−
11
m
+
72
)
(iv)
(
−
6
m
+
72
)
(v)
(
−
8
m
+
72
)
Question
5
5.
The quotient when
(
−
g
5
−
g
4
−
9
g
3
−
8
g
2
−
4
g
+
2
)
is divided by
(
g
+
6
)
is
(i)
(
−
g
4
+
5
g
3
−
39
g
2
+
226
g
−
1360
)
(ii)
(
−
2
g
4
+
5
g
3
−
39
g
2
+
226
g
−
1360
)
(iii)
(
−
4
g
4
+
5
g
3
−
39
g
2
+
226
g
−
1360
)
(iv)
(
g
4
+
5
g
3
−
39
g
2
+
226
g
−
1360
)
(v)
(
5
g
3
−
39
g
2
+
226
g
−
1360
)
Question
6
6.
The remainder when
(
−
2
k
)
is divided by
6
is
(i)
1
(ii)
3
(iii)
0
(iv)
(
−
2
)
(v)
(
−
1
)
Question
7
7.
The remainder when
(
−
j
2
)
is divided by
(
j
+
5
)
is
(i)
(
−
26
)
(ii)
(
−
23
)
(iii)
(
−
28
)
(iv)
(
−
24
)
(v)
(
−
25
)
Question
8
8.
The remainder when
(
5
a
+
8
)
is divided by
(
a
+
7
)
is
(i)
(
−
28
)
(ii)
(
−
26
)
(iii)
(
−
30
)
(iv)
(
−
24
)
(v)
(
−
27
)
Question
9
9.
The remainder when
(
−
3
q
2
+
9
q
)
is divided by
(
q
−
2
)
is
(i)
5
(ii)
7
(iii)
3
(iv)
8
(v)
6
Question
10
10.
The remainder when
(
6
t
2
−
8
t
+
7
)
is divided by
(
t
+
7
)
is
(i)
357
(ii)
358
(iii)
354
(iv)
356
(v)
359
Question
11
11.
Find the remainder when
(
6
x
2
+
7
x
+
2
)
is divided by
(
x
−
9
)
(i)
550
(ii)
548
(iii)
553
(iv)
552
(v)
551
Question
12
12.
If
f
(
x
)
=
(
6
x
3
+
2
x
2
−
38
x
+
30
)
and
g
(
x
)
=
(
6
x
3
+
31
x
2
+
45
x
+
18
)
have a common factor, find the common factor
(i)
(
2
x
+
3
)
(ii)
(
3
x
−
5
)
(iii)
(
3
x
+
2
)
(iv)
(
x
+
3
)
(v)
(
2
x
−
2
)
Question
13
13.
If the polynomial
a
x
2
−
17
x
+
b
is divided by
(
3
x
+
5
)
,
it leaves a remainder
46
2
3
.
If it is divided by
(
2
x
+
3
)
,
it leaves a remainder
42
1
4
.
Find the value of
a
and
b
(i)
3
,
11
(ii)
4
,
10
(iii)
9
,
2
(iv)
11
,
4
(v)
3
,
10
Assignment Key
1) (i)
2) (iv)
3) (i)
4) (i)
5) (i)
6) (iii)
7) (v)
8) (v)
9) (v)
10) (i)
11) (v)
12) (iv)
13) (v)
