EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The remainder when
9
v
is divided by
(
−
4
)
is
(i)
3
(ii)
(
−
1
)
(iii)
1
(iv)
(
−
2
)
(v)
0
Question
2
2.
The remainder when
(
−
9
b
2
)
is divided by
(
b
−
4
)
is
(i)
(
−
147
)
(ii)
(
−
141
)
(iii)
(
−
144
)
(iv)
(
−
143
)
(v)
(
−
145
)
Question
3
3.
The remainder when
(
−
6
p
−
9
)
is divided by
(
p
−
4
)
is
(i)
(
−
33
)
(ii)
(
−
32
)
(iii)
(
−
35
)
(iv)
(
−
34
)
(v)
(
−
31
)
Question
4
4.
The remainder when
(
9
y
2
−
y
)
is divided by
(
y
−
7
)
is
(i)
434
(ii)
436
(iii)
435
(iv)
432
(v)
433
Question
5
5.
The remainder when
(
−
3
q
2
+
9
q
+
7
)
is divided by
(
q
−
3
)
is
(i)
6
(ii)
9
(iii)
8
(iv)
7
(v)
4
Question
6
6.
The remainder when
(
8
u
4
+
8
u
3
+
7
u
2
−
6
u
+
4
)
is divided by
(
u
2
+
u
−
42
)
is
(i)
(
−
346
u
+
14410
)
(ii)
(
−
351
u
+
14410
)
(iii)
(
−
349
u
+
14410
)
(iv)
(
−
348
u
+
14410
)
(v)
(
−
350
u
+
14410
)
Question
7
7.
If
5
2
and
-1
are the zeros of the polynomial
f
(
x
)
=
4
x
4
+
6
x
3
+
a
x
2
−
6
x
+
b
, find the value of
a
and
b
(i)
-44
,
41
(ii)
41
,
-43
(iii)
-44
,
40
(iv)
39
,
-45
(v)
-43
,
40
Question
8
8.
If the polynomials
a
x
2
−
3
x
+
21
and
5
x
2
+
a
x
−
45
leave the same remainder when divided by
(
x
−
3
)
,
find the value of
a
(i)
(-3)
(ii)
0
(iii)
(-4)
(iv)
(-2)
(v)
(-1)
Question
9
9.
Which of the following are true ?
a)
If p(x) is divided by (x - a), the remainder is p(a)
b)
If p(a) = 0, then (x + a) perfectly divides p(x)
c)
If the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)
d)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
(i)
{d,c}
(ii)
{a,c}
(iii)
{b,a}
(iv)
{b,d,a}
(v)
{b,c,a}
Question
10
10.
Find the remainder when
(
2
x
2
+
27
x
+
81
)
is divided by
(
x
−
7
)
(i)
367
(ii)
369
(iii)
370
(iv)
368
(v)
366
Assignment Key
1) (v)
2) (iii)
3) (i)
4) (i)
5) (iv)
6) (iii)
7) (iii)
8) (iv)
9) (ii)
10) (iv)
