EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The remainder when
(
−
p
)
is divided by
(
−
5
)
is
(i)
(
−
2
)
(ii)
(
−
1
)
(iii)
0
(iv)
3
(v)
1
Question
2
2.
The remainder when
(
−
z
2
)
is divided by
(
z
−
8
)
is
(i)
(
−
63
)
(ii)
(
−
64
)
(iii)
(
−
62
)
(iv)
(
−
65
)
(v)
(
−
67
)
Question
3
3.
The remainder when
(
2
v
−
6
)
is divided by
(
v
−
8
)
is
(i)
8
(ii)
11
(iii)
13
(iv)
9
(v)
10
Question
4
4.
The remainder when
(
8
r
2
−
6
r
)
is divided by
(
r
+
9
)
is
(i)
702
(ii)
701
(iii)
705
(iv)
700
(v)
703
Question
5
5.
The remainder when
(
8
z
2
+
9
z
−
8
)
is divided by
(
z
−
3
)
is
(i)
91
(ii)
93
(iii)
90
(iv)
88
(v)
92
Question
6
6.
The remainder when
(
6
z
4
−
9
z
3
−
2
z
2
+
4
z
+
2
)
is divided by
(
z
+
9
)
is
(i)
45731
(ii)
45728
(iii)
45732
(iv)
45734
(v)
45730
Question
7
7.
If
1
and
(
-5
2
)
are the zeros of the polynomial
f
(
x
)
=
4
x
4
+
b
x
3
−
6
x
2
+
a
x
+
50
, find the value of
a
and
b
(i)
23
,
-69
(ii)
-69
,
22
(iii)
-70
,
22
(iv)
-70
,
23
(v)
21
,
-71
Question
8
8.
If the polynomials
a
x
2
+
5
x
+
15
and
x
2
+
a
x
−
17
leave the same remainder when divided by
(
x
+
2
)
,
find the value of
a
(i)
(-3)
(ii)
0
(iii)
(-2)
(iv)
(-4)
(v)
(-5)
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)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
c)
If p(x) is divided by (x - a), the remainder is p(a)
d)
If p(a) = 0, then (x + a) perfectly divides p(x)
(i)
{b,c,a}
(ii)
{b,a}
(iii)
{a,c}
(iv)
{d,c}
(v)
{b,d,a}
Question
10
10.
Find the remainder when
(
9
x
2
+
27
x
+
20
)
is divided by
(
3
x
+
8
)
(i)
13
(ii)
10
(iii)
12
(iv)
11
(v)
14
Assignment Key
1) (iii)
2) (ii)
3) (v)
4) (i)
5) (i)
6) (i)
7) (iii)
8) (i)
9) (iii)
10) (iii)
