EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following algebraic expressions is a binomial?
(i)
(
2
s
4
+
7
s
3
+
s
2
−
9
s
+
7
)
(ii)
(
−
8
s
4
+
5
s
3
+
8
s
2
−
7
s
+
8
)
(iii)
7
s
3
(iv)
(
−
2
s
4
+
3
s
2
−
4
s
)
(v)
(
−
3
s
2
+
5
)
Question
2
2.
Which of the following are true?
a)
π
r
2
is a monomial
b)
Every polynomial is a binomial
c)
A binomial has two and only two terms
d)
Degree of zero polynomial is zero
e)
A binomial may have degree 3
(i)
{b,a}
(ii)
{d,c}
(iii)
{b,a,c}
(iv)
{a,c,e}
(v)
{b,d,e}
Question
3
3.
Factorize
(
a
+
b
)
2
−
c
2
(i)
(
a
+
b
+
c
)
(
a
−
b
−
c
)
(ii)
(
a
+
b
−
c
)
(
a
−
b
−
c
)
(iii)
(
a
+
b
+
c
)
(
a
−
b
+
c
)
(iv)
(
a
+
b
−
c
)
(
a
−
b
+
c
)
(v)
(
a
+
b
+
c
)
(
a
+
b
−
c
)
Question
4
4.
(
−
4
a
−
b
)
2
(i)
(
17
a
2
+
8
a
b
+
b
2
)
(ii)
(
16
a
2
+
8
a
b
+
b
2
)
(iii)
(
16
a
2
+
10
a
b
+
b
2
)
(iv)
(
16
a
2
+
6
a
b
+
b
2
)
(v)
(
15
a
2
+
8
a
b
+
b
2
)
Question
5
5.
Factorize
(
x
3
+
3
x
2
a
+
3
x
a
2
−
x
+
a
3
−
a
)
(i)
(
x
−
a
)
(
x
+
a
−
1
)
(
x
−
a
+
1
)
(ii)
(
x
−
a
)
(
x
−
a
−
1
)
(
x
+
a
+
1
)
(iii)
(
x
+
a
)
(
x
−
a
−
1
)
(
x
+
a
+
1
)
(iv)
(
x
+
a
)
(
x
+
a
−
1
)
(
x
+
a
+
1
)
(v)
(
x
+
a
)
(
x
+
a
−
1
)
(
x
−
a
+
1
)
Question
6
6.
Which of the following is an irreducible factor of
x
y
4
z
4
?
(i)
y
4
z
(ii)
x
z
3
(iii)
x
y
(iv)
x
y
4
z
3
(v)
z
Question
7
7.
(
−
3
2
a
−
3
2
b
+
3
c
)
2
(i)
(
9
4
a
2
+
7
2
a
b
−
9
a
c
+
9
4
b
2
−
9
b
c
+
9
c
2
)
(ii)
(
13
6
a
2
+
9
2
a
b
−
9
a
c
+
9
4
b
2
−
9
b
c
+
9
c
2
)
(iii)
(
9
4
a
2
+
11
2
a
b
−
9
a
c
+
9
4
b
2
−
9
b
c
+
9
c
2
)
(iv)
(
5
2
a
2
+
9
2
a
b
−
9
a
c
+
9
4
b
2
−
9
b
c
+
9
c
2
)
(v)
(
9
4
a
2
+
9
2
a
b
−
9
a
c
+
9
4
b
2
−
9
b
c
+
9
c
2
)
Question
8
8.
(
8
x
4
+
22
x
3
+
12
x
2
)
÷
(
2
x
2
+
4
x
)
(i)
(
−
4
x
2
+
3
x
)
(ii)
(
4
x
2
+
3
x
)
(iii)
(
3
x
2
+
3
x
)
(iv)
(
4
x
2
+
4
x
)
(v)
(
4
x
2
−
3
x
)
Question
9
9.
Factorize
(
−
8
a
3
−
48
a
2
b
−
96
a
b
2
−
64
b
3
)
(i)
(
−
2
a
−
4
b
)
(
−
2
a
−
4
b
)
(
−
2
a
−
4
b
)
(ii)
(
−
2
a
−
6
b
)
(
−
2
a
−
7
b
)
(
−
2
a
−
6
b
)
(iii)
(
−
a
−
4
b
)
(
−
a
−
4
b
)
(
−
a
−
4
b
)
(iv)
(
−
2
a
−
2
b
)
(
−
2
a
−
b
)
(
−
2
a
−
2
b
)
(v)
(
−
3
a
−
4
b
)
(
−
3
a
−
4
b
)
(
−
3
a
−
4
b
)
Question
10
10.
(
5
a
+
4
b
)
(
5
a
−
4
b
)
(i)
(
25
a
2
−
14
b
2
)
(ii)
(
25
a
2
−
19
b
2
)
(iii)
(
24
a
2
−
16
b
2
)
(iv)
(
26
a
2
−
16
b
2
)
(v)
(
25
a
2
−
16
b
2
)
Question
11
11.
Factorize
(
x
4
−
4
x
3
−
x
2
+
16
x
−
12
)
(i)
(
x
−
3
)
(
x
−
2
)
(
x
+
2
)
(
x
+
1
)
(ii)
(
x
−
3
)
(
x
−
2
)
(
x
−
1
)
(
x
+
3
)
(iii)
(
x
−
3
)
(
x
−
2
)
(
x
+
2
)
(
x
+
3
)
(iv)
(
x
−
3
)
(
x
−
2
)
(
x
+
3
)
(
x
+
1
)
(v)
(
x
−
3
)
(
x
−
2
)
(
x
+
2
)
(
x
−
1
)
Question
12
12.
Find
105
3
(i)
1157615
(ii)
1157635
(iii)
1157645
(iv)
1157625
(v)
1157605
Question
13
13.
The degree of the polynomial
(
4
v
5
−
2
v
4
+
4
v
2
−
6
v
+
7
)
is
(i)
4
(ii)
6
(iii)
8
(iv)
3
(v)
5
Question
14
14.
(
−
2
a
−
2
b
)
3
(i)
(
−
9
a
3
−
24
a
2
b
−
24
a
b
2
−
8
b
3
)
(ii)
(
−
8
a
3
−
22
a
2
b
−
24
a
b
2
−
8
b
3
)
(iii)
(
−
8
a
3
−
26
a
2
b
−
24
a
b
2
−
8
b
3
)
(iv)
(
−
7
a
3
−
24
a
2
b
−
24
a
b
2
−
8
b
3
)
(v)
(
−
8
a
3
−
24
a
2
b
−
24
a
b
2
−
8
b
3
)
Question
15
15.
Given
f
(
y
)
=
(
7
y
4
+
4
y
3
−
6
y
2
+
6
y
−
9
)
,
find
f
(
(-2)
)
(i)
32
(ii)
36
(iii)
38
(iv)
34
(v)
35
Question
16
16.
Factorize
(
25
a
2
−
40
a
b
+
16
b
2
)
(i)
(
−
5
a
+
6
b
)
(
−
5
a
+
7
b
)
(ii)
(
−
4
a
+
4
b
)
(
−
4
a
+
4
b
)
(iii)
(
−
6
a
+
4
b
)
(
−
6
a
+
4
b
)
(iv)
(
−
5
a
+
b
)
(
−
5
a
+
b
)
(v)
(
−
5
a
+
4
b
)
(
−
5
a
+
4
b
)
Question
17
17.
If
(
-5
2
)
is the zero of the polynomial
f
(
x
)
=
k
x
2
+
20
x
+
25
,
find
k
(i)
1
(ii)
4
(iii)
3
(iv)
5
(v)
6
Question
18
18.
The value of
36
✕
36
is
(i)
1297
(ii)
1299
(iii)
1295
(iv)
1296
(v)
1293
Question
19
19.
If
5
and
-1
are the zeros of the polynomial
f
(
x
)
=
2
x
4
+
a
x
3
+
30
x
2
+
b
x
, find the value of
a
and
b
(i)
-18
,
50
(ii)
49
,
-19
(iii)
-18
,
51
(iv)
-17
,
50
(v)
51
,
-17
Question
20
20.
Find the remainder when
(
4
x
2
−
16
x
+
15
)
is divided by
(
3
x
−
9
)
(i)
3
(ii)
4
(iii)
6
(iv)
1
(v)
2
Question
21
21.
The constant term in polynomial
(
−
9
k
4
+
k
3
−
7
k
2
+
6
k
+
6
)
is
(i)
9
(ii)
6
(iii)
7
(iv)
5
(v)
3
Question
22
22.
If the polynomials
a
x
2
−
2
x
+
48
and
x
2
+
a
x
+
3
leave the same remainder when divided by
(
x
−
3
)
,
find the value of
a
(i)
(-6)
(ii)
(-3)
(iii)
(-4)
(iv)
(-7)
(v)
(-5)
Question
23
23.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
(
x
+
y
+
1
)
(ii)
y
(iii)
x
y
(iv)
x
Question
24
24.
Evaluate :
975
2
−
25
2
(i)
95000
(ii)
950000
(iii)
9500000
(iv)
950025
(v)
950975
Question
25
25.
Factorize
(
x
4
+
4
x
3
−
33
x
2
−
4
x
+
32
)
(i)
(
x
+
8
)
(
−
x
−
1
)
(
−
x
−
4
)
(
−
2
x
+
1
)
(ii)
(
x
+
8
)
(
2
x
−
1
)
(
2
x
−
4
)
(
2
x
+
1
)
(iii)
(
x
+
8
)
(
−
1
)
(
−
4
)
1
(iv)
(
x
+
8
)
(
x
−
1
)
(
x
−
4
)
(
x
+
1
)
(v)
(
x
+
8
)
(
3
x
−
1
)
(
4
x
−
4
)
(
3
x
+
1
)
Assignment Key
1) (v)
2) (iv)
3) (v)
4) (ii)
5) (iv)
6) (v)
7) (v)
8) (ii)
9) (i)
10) (v)
11) (v)
12) (iv)
13) (v)
14) (v)
15) (v)
16) (v)
17) (ii)
18) (iv)
19) (i)
20) (i)
21) (ii)
22) (v)
23) (iii)
24) (ii)
25) (iv)
