EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The remainder when
(
−
2
t
)
is divided by
(
−
5
)
is
(i)
2
(ii)
1
(iii)
0
(iv)
(
−
1
)
(v)
(
−
2
)
Question
2
2.
The remainder when
(
−
3
g
2
)
is divided by
(
g
−
4
)
is
(i)
(
−
51
)
(ii)
(
−
49
)
(iii)
(
−
47
)
(iv)
(
−
48
)
(v)
(
−
45
)
Question
3
3.
The remainder when
(
−
4
s
−
1
)
is divided by
(
s
+
1
)
is
(i)
3
(ii)
5
(iii)
4
(iv)
0
(v)
2
Question
4
4.
The remainder when
(
−
9
y
2
−
3
y
)
is divided by
(
y
−
5
)
is
(i)
(
−
243
)
(ii)
(
−
240
)
(iii)
(
−
239
)
(iv)
(
−
237
)
(v)
(
−
241
)
Question
5
5.
The remainder when
(
8
u
2
−
2
u
−
8
)
is divided by
(
u
−
3
)
is
(i)
55
(ii)
60
(iii)
58
(iv)
59
(v)
57
Question
6
6.
The remainder when
(
9
d
4
+
7
d
3
−
2
d
2
+
3
d
−
3
)
is divided by
(
d
2
−
9
d
+
8
)
is
(i)
(
5761
d
−
5747
)
(ii)
(
5760
d
−
5747
)
(iii)
(
5762
d
−
5747
)
(iv)
(
5758
d
−
5747
)
(v)
(
5764
d
−
5747
)
Question
7
7.
If
5
and
(
-5
2
)
are the zeros of the polynomial
f
(
x
)
=
8
x
4
−
24
x
3
+
a
x
2
+
b
x
+
150
, find the value of
a
and
b
(i)
-102
,
80
(ii)
79
,
-103
(iii)
-102
,
81
(iv)
81
,
-101
(v)
-101
,
80
Question
8
8.
If the polynomials
a
x
2
+
2
x
−
3
and
−
2
x
2
+
a
x
+
7
leave the same remainder when divided by
(
x
+
2
)
,
find the value of
a
(i)
(-1)
(ii)
3
(iii)
0
(iv)
2
(v)
1
Question
9
9.
Which of the following are true ?
a)
If p(a) = 0, then (x + a) perfectly divides p(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 the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)
(i)
{a,b,c}
(ii)
{b,d}
(iii)
{a,d,c}
(iv)
{c,d}
(v)
{a,c}
Question
10
10.
Find the remainder when
(
9
x
2
+
48
x
+
63
)
is divided by
(
3
x
+
8
)
(i)
2
(ii)
-2
(iii)
0
(iv)
-1
(v)
-4
Assignment Key
1) (iii)
2) (iv)
3) (i)
4) (ii)
5) (iii)
6) (i)
7) (i)
8) (v)
9) (iv)
10) (iv)
