EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The remainder when
3
r
is divided by
(
−
6
)
is
(i)
1
(ii)
0
(iii)
(
−
2
)
(iv)
(
−
1
)
(v)
2
Question
2
2.
The remainder when
2
z
2
is divided by
(
z
−
9
)
is
(i)
165
(ii)
161
(iii)
162
(iv)
163
(v)
159
Question
3
3.
The remainder when
(
4
i
−
9
)
is divided by
(
i
−
1
)
is
(i)
(
−
4
)
(ii)
(
−
6
)
(iii)
(
−
5
)
(iv)
(
−
8
)
(v)
(
−
3
)
Question
4
4.
The remainder when
(
−
7
e
2
+
2
e
)
is divided by
(
e
−
4
)
is
(i)
(
−
105
)
(ii)
(
−
104
)
(iii)
(
−
103
)
(iv)
(
−
102
)
(v)
(
−
107
)
Question
5
5.
The remainder when
(
6
d
2
+
4
d
+
4
)
is divided by
(
d
−
6
)
is
(i)
244
(ii)
245
(iii)
243
(iv)
241
(v)
246
Question
6
6.
The remainder when
(
−
2
b
4
−
4
b
3
+
8
b
2
+
4
b
−
8
)
is divided by
(
b
2
−
8
b
+
7
)
is
(i)
(
−
961
b
+
958
)
(ii)
(
−
962
b
+
958
)
(iii)
(
−
960
b
+
958
)
(iv)
(
−
959
b
+
958
)
(v)
(
−
957
b
+
958
)
Question
7
7.
If
3
2
and
-5
are the zeros of the polynomial
f
(
x
)
=
b
x
4
+
a
x
3
−
9
x
2
−
45
x
, find the value of
a
and
b
(i)
5
,
21
(ii)
20
,
5
(iii)
21
,
4
(iv)
3
,
19
(v)
20
,
4
Question
8
8.
If the polynomials
x
2
+
a
x
−
1
and
a
x
2
+
5
x
−
11
leave the same remainder when divided by
(
x
+
2
)
,
find the value of
a
(i)
2
(ii)
5
(iii)
4
(iv)
3
(v)
6
Question
9
9.
Which of the following are true ?
a)
If the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)
b)
If p(a) = 0, then (x + a) perfectly divides p(x)
c)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
d)
If p(x) is divided by (x - a), the remainder is p(a)
(i)
{c,d}
(ii)
{a,d}
(iii)
{b,c,a}
(iv)
{b,d,a}
(v)
{b,a}
Question
10
10.
Find the remainder when
(
6
x
2
+
7
x
−
49
)
is divided by
(
2
x
−
8
)
(i)
74
(ii)
76
(iii)
78
(iv)
75
(v)
73
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (ii)
5) (i)
6) (iii)
7) (v)
8) (iii)
9) (ii)
10) (iv)
