EduSahara™ Assignment
Name : Polynomial Division1
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The quotient when
3
n
is divided by
(
−
8
)
is
(i)
(
−
1
2
n
)
(ii)
(
−
1
8
n
)
(iii)
(
−
3
8
n
)
(iv)
(
−
3
10
n
)
(v)
(
−
5
8
n
)
Question
2
2.
The quotient when
7
u
2
is divided by
(
u
+
3
)
is
(i)
(
7
u
−
21
)
(ii)
(
6
u
−
21
)
(iii)
(
5
u
−
21
)
(iv)
(
8
u
−
21
)
(v)
(
10
u
−
21
)
Question
3
3.
The quotient when
(
−
8
g
−
7
)
is divided by
(
g
−
6
)
is
(i)
(
−
8
)
(ii)
(
−
6
)
(iii)
(
−
11
)
(iv)
(
−
7
)
(v)
(
−
9
)
Question
4
4.
The quotient when
(
6
f
2
+
4
f
+
7
)
is divided by
(
f
−
3
)
is
(i)
(
5
f
+
22
)
(ii)
(
3
f
+
22
)
(iii)
(
8
f
+
22
)
(iv)
(
7
f
+
22
)
(v)
(
6
f
+
22
)
Question
5
5.
The quotient when
(
−
4
p
2
+
4
p
)
is divided by
(
p
−
5
)
is
(i)
(
−
5
p
−
16
)
(ii)
(
−
6
p
−
16
)
(iii)
(
−
2
p
−
16
)
(iv)
(
−
3
p
−
16
)
(v)
(
−
4
p
−
16
)
Question
6
6.
The quotient when
(
−
b
2
+
7
b
−
1
)
is divided by
(
b
+
6
)
is
(i)
(
−
2
b
+
13
)
(ii)
13
(iii)
(
−
4
b
+
13
)
(iv)
(
−
b
+
13
)
(v)
(
2
b
+
13
)
Question
7
7.
The quotient when
(
3
p
4
+
9
p
3
+
6
p
2
−
7
p
+
5
)
is divided by
(
p
2
+
5
p
−
14
)
is
(i)
(
2
p
2
−
6
p
+
78
)
(ii)
(
4
p
2
−
6
p
+
78
)
(iii)
(
p
2
−
6
p
+
78
)
(iv)
(
3
p
2
−
6
p
+
78
)
(v)
(
5
p
2
−
6
p
+
78
)
Question
8
8.
The quotient when
(
−
2
k
5
−
k
4
−
5
k
3
−
9
k
2
−
k
+
5
)
is divided by
(
k
−
1
)
is
(i)
(
−
3
k
3
−
8
k
2
−
17
k
−
18
)
(ii)
(
−
3
k
4
−
3
k
3
−
8
k
2
−
17
k
−
18
)
(iii)
(
−
2
k
4
−
3
k
3
−
8
k
2
−
17
k
−
18
)
(iv)
(
−
4
k
4
−
3
k
3
−
8
k
2
−
17
k
−
18
)
(v)
(
−
k
4
−
3
k
3
−
8
k
2
−
17
k
−
18
)
Question
9
9.
The remainder when
6
w
is divided by
7
is
(i)
3
(ii)
1
(iii)
0
(iv)
(
−
3
)
(v)
(
−
1
)
Question
10
10.
The remainder when
(
2
v
4
−
8
v
3
+
9
v
−
6
)
is divided by
(
v
2
−
7
v
−
18
)
is
(i)
(
662
v
+
1398
)
(ii)
(
665
v
+
1398
)
(iii)
(
663
v
+
1398
)
(iv)
(
661
v
+
1398
)
(v)
(
664
v
+
1398
)
Question
11
11.
(
9
x
3
+
21
x
2
−
21
x
−
9
)
÷
(
3
x
2
+
10
x
+
3
)
=
(i)
(
−
3
x
−
3
)
(ii)
(
3
x
−
3
)
(iii)
(
3
x
+
3
)
(iv)
(
4
x
−
3
)
(v)
(
2
x
−
3
)
Question
12
12.
(
−
12
x
4
−
28
x
3
−
11
x
2
+
8
x
+
3
)
÷
(
12
x
3
+
16
x
2
−
5
x
−
3
)
=
(i)
(
x
−
1
)
(ii)
(
−
x
−
1
)
(iii)
(
−
1
)
(iv)
(
−
2
x
−
1
)
(v)
(
−
x
+
1
)
Question
13
13.
(
−
6
x
5
+
27
x
4
+
15
x
3
−
225
x
2
+
351
x
−
162
)
divided by
(
3
x
3
−
18
x
2
+
33
x
−
18
)
=
(i)
(
−
2
x
2
−
2
x
+
9
)
(ii)
(
−
2
x
2
−
3
x
−
9
)
(iii)
(
−
2
x
2
−
4
x
+
9
)
(iv)
(
−
2
x
2
−
3
x
+
9
)
(v)
(
−
2
x
2
+
3
x
+
9
)
Question
14
14.
(
16
x
4
y
3
+
144
x
3
y
2
)
÷
4
x
2
y
=
(i)
(
4
x
3
y
4
+
36
x
y
)
(ii)
(
4
x
2
y
2
+
36
x
y
2
z
)
(iii)
(
4
x
3
y
3
+
36
x
y
)
(iv)
(
4
x
2
y
2
+
36
y
2
)
(v)
(
4
x
2
y
2
+
36
x
y
)
Question
15
15.
(
4
x
4
y
2
z
4
+
180
x
4
y
2
z
3
+
20
x
3
y
2
z
4
)
÷
2
x
2
y
z
2
=
(i)
(
2
x
2
y
z
2
+
90
x
2
y
z
+
10
x
y
z
2
)
(ii)
(
2
x
2
y
z
2
+
90
x
y
2
z
+
10
x
y
z
2
)
(iii)
(
90
x
2
y
2
z
2
+
2
x
2
y
z
2
+
10
x
y
z
2
)
(iv)
(
2
x
3
y
3
z
2
+
90
x
2
y
z
+
10
x
y
z
2
)
(v)
(
2
x
3
y
2
z
2
+
90
x
2
y
z
+
10
x
y
z
2
)
Question
16
16.
Factorize and divide
(
9
x
4
−
72
x
2
+
144
)
÷
(
3
x
2
−
12
)
(i)
(
x
2
−
12
)
(ii)
(
2
x
2
−
12
)
(iii)
(
4
x
2
−
12
)
(iv)
(
3
x
2
−
12
)
(v)
(
5
x
2
−
12
)
Question
17
17.
Factorize and divide
(
8
x
4
+
26
x
3
−
47
x
2
−
86
x
+
24
)
÷
(
−
x
2
−
2
x
+
8
)
(i)
(
−
8
x
2
−
14
x
−
3
)
(ii)
(
−
8
x
2
−
10
x
+
3
)
(iii)
(
−
8
x
2
+
14
x
−
3
)
(iv)
(
2
x
2
−
x
−
6
)
(v)
(
−
8
x
2
+
10
x
+
3
)
Question
18
18.
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(x) is divided by (x - a), the remainder is p(a)
c)
If p(a) = 0, then (x + a) perfectly divides p(x)
d)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
(i)
{c,b,a}
(ii)
{a,b}
(iii)
{c,d,a}
(iv)
{c,a}
(v)
{d,b}
Question
19
19.
(
4
x
3
+
2
x
2
)
÷
2
x
(i)
(
2
x
2
−
x
)
(ii)
(
x
2
+
x
)
(iii)
(
2
x
2
+
2
x
)
(iv)
(
−
2
x
2
+
x
)
(v)
(
2
x
2
+
x
)
Question
20
20.
(
20
x
4
+
18
x
3
+
4
x
2
)
÷
(
4
x
2
+
2
x
)
(i)
(
5
x
2
+
3
x
)
(ii)
(
4
x
2
+
2
x
)
(iii)
(
−
5
x
2
+
2
x
)
(iv)
(
5
x
2
−
2
x
)
(v)
(
5
x
2
+
2
x
)
Question
21
21.
(
12
x
4
+
2
x
3
−
172
x
2
−
112
x
)
÷
(
4
x
2
−
2
x
−
56
)
(i)
(
3
x
2
+
x
)
(ii)
(
3
x
2
+
2
x
)
(iii)
(
3
x
2
−
2
x
)
(iv)
(
3
x
2
+
3
x
)
(v)
(
−
3
x
2
+
2
x
)
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (v)
5) (v)
6) (iv)
7) (iv)
8) (iii)
9) (iii)
10) (iii)
11) (ii)
12) (ii)
13) (iv)
14) (v)
15) (i)
16) (iv)
17) (ii)
18) (ii)
19) (v)
20) (v)
21) (ii)
