EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Factorisation
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Factorize
(
6
x
2
+
29
x
+
28
)
(i)
(
2
x
+
7
)
(
5
x
+
4
)
(ii)
(
2
x
+
7
)
(
4
x
+
4
)
(iii)
(
2
x
+
7
)
(
2
x
+
4
)
(iv)
(
2
x
+
7
)
4
(v)
(
2
x
+
7
)
(
3
x
+
4
)
Question
2
2.
Factorize
(
36
x
2
−
100
)
(i)
(
6
x
+
10
)
(
6
x
−
10
)
(ii)
(
6
x
+
10
)
(
6
x
+
10
)
(iii)
(
6
x
+
20
)
(
6
x
−
5
)
(iv)
(
6
x
−
20
)
(
6
x
+
5
)
(v)
(
6
x
−
10
)
(
6
x
−
10
)
Question
3
3.
Find the number of numbers between
15
2
and
16
2
(i)
27
(ii)
33
(iii)
31
(iv)
30
(v)
29
Question
4
4.
Factorize
(
8
a
2
b
+
20
a
b
2
)
(i)
4
a
b
(
2
a
−
5
b
)
(ii)
4
a
(
2
a
+
5
b
)
(iii)
4
a
b
(
−
2
a
−
5
b
)
(iv)
4
a
b
(
2
a
+
5
b
)
(v)
4
b
(
2
a
−
5
b
)
Question
5
5.
Factorize
(
16
x
2
+
40
x
y
+
16
y
2
)
(i)
(
4
x
−
2
y
)
(
4
x
+
8
y
)
(ii)
(
4
x
+
2
y
)
(
4
x
−
2
y
)
(iii)
(
4
x
+
2
y
)
(
4
x
−
8
y
)
(iv)
(
4
x
+
2
y
)
(
4
x
+
8
y
)
(v)
(
4
x
−
2
y
)
(
4
x
−
8
y
)
Question
6
6.
Factorize
(
4
a
2
−
16
b
2
)
(i)
(
a
−
4
b
)
(
a
+
4
b
)
(ii)
(
2
a
−
2
b
)
(
2
a
+
7
b
)
(iii)
(
2
a
−
7
b
)
(
2
a
+
2
b
)
(iv)
(
3
a
−
4
b
)
(
3
a
+
4
b
)
(v)
(
2
a
−
4
b
)
(
2
a
+
4
b
)
Question
7
7.
Factorize
(
100
x
2
−
16
y
2
)
(i)
(
10
x
+
4
y
)
(
10
x
+
4
y
)
(ii)
(
10
x
−
4
y
)
(
10
x
−
4
y
)
(iii)
(
10
x
+
8
y
)
(
10
x
−
2
y
)
(iv)
(
10
x
−
8
y
)
(
10
x
+
2
y
)
(v)
(
10
x
+
4
y
)
(
10
x
−
4
y
)
Question
8
8.
Find the H.C.F. of
(
x
2
+
7
x
−
8
)
and
(
x
2
+
17
x
+
72
)
(i)
(
x
+
9
)
(ii)
(
x
+
8
)
(iii)
(
2
x
+
8
)
(iv)
(
2
x
−
1
)
(v)
(
x
−
1
)
Question
9
9.
Factorize
(
x
2
+
2
x
a
−
2
x
+
a
2
−
2
a
−
3
)
(i)
(
x
+
a
−
3
)
(
x
−
a
+
1
)
(ii)
(
x
−
a
−
3
)
(
x
+
a
−
1
)
(iii)
(
x
+
a
+
1
)
(
x
−
a
−
3
)
(iv)
(
x
+
a
+
1
)
(
x
+
a
−
3
)
(v)
(
x
−
a
+
1
)
(
x
+
a
+
3
)
Question
10
10.
Factorize
(
a
2
−
4
a
b
−
10
a
c
+
4
b
2
+
20
b
c
+
25
c
2
)
(i)
(
−
a
−
b
+
5
c
)
(
−
a
−
b
+
5
c
)
(ii)
(
−
2
a
+
2
b
+
5
c
)
(
−
2
a
+
2
b
+
5
c
)
(iii)
(
2
b
+
5
c
)
(
2
b
+
5
c
)
(iv)
(
−
a
+
2
b
+
5
c
)
(
−
a
+
2
b
+
5
c
)
(v)
(
−
a
+
5
b
+
5
c
)
(
−
a
+
5
b
+
5
c
)
Question
11
11.
Factorize
(
w
4
−
1296
)
(i)
(
w
2
+
36
)
(
w
2
−
12
)
(ii)
(
w
+
6
)
(
w
+
6
)
(
w
−
6
)
(iii)
(
w
+
6
)
(
w
−
6
)
(
w
2
+
36
)
(iv)
(
w
+
6
)
(
w
−
6
)
(
w
2
−
12
)
(v)
(
w
+
6
)
(
w
−
6
)
(
w
−
6
)
Question
12
12.
Which of the following is a factor of
(
8
x
3
+
y
4
z
)
?
(i)
y
(ii)
8
x
3
(iii)
no factors
(iv)
y
4
z
(v)
x
z
Question
13
13.
Which of the following is not a factor of
23
x
3
y
5
z
5
?
(i)
x
2
y
5
z
5
(ii)
x
3
y
4
z
5
(iii)
x
3
y
5
z
4
(iv)
x
4
y
6
z
6
(v)
y
2
z
5
Question
14
14.
Find the H.C.F. of
68
x
3
y
and
8
x
2
y
(i)
4
x
2
y
3
(ii)
136
x
3
y
(iii)
4
x
2
y
(iv)
4
x
5
y
(v)
4
x
3
y
Question
15
15.
Factorize
(
5
x
+
6
y
)
2
−
2
(
5
x
+
6
y
)
(
4
x
+
7
y
)
+
(
4
x
+
7
y
)
2
(i)
(
9
x
+
13
y
)
2
(ii)
(
x
−
y
)
2
(iii)
y
2
(iv)
(
2
x
−
y
)
2
(v)
(
5
x
+
6
y
)
(
4
x
+
7
y
)
Question
16
16.
Factorize
(
12
x
2
+
18
x
y
−
30
y
2
)
(i)
(
2
x
−
5
y
)
(
6
x
+
6
y
)
(ii)
(
2
x
+
5
y
)
(
6
x
+
6
y
)
(iii)
(
2
x
+
5
y
)
(
6
x
−
6
y
)
(iv)
(
2
x
−
5
y
)
(
6
x
−
6
y
)
(v)
(
2
x
+
5
y
)
(
2
x
+
5
y
)
Question
17
17.
Factorize
(
x
3
−
2
x
2
−
29
x
+
30
)
(i)
(
x
−
6
)
(
x
+
5
)
(
x
−
1
)
(ii)
(
x
−
6
)
5
(
−
1
)
(iii)
(
x
−
6
)
(
4
x
+
5
)
(
4
x
−
1
)
(iv)
(
x
−
6
)
(
2
x
+
5
)
(
2
x
−
1
)
(v)
(
x
−
6
)
(
−
2
x
+
5
)
(
−
x
−
1
)
Question
18
18.
Which of the following is an irreducible factor of
5
x
4
y
5
z
3
?
(i)
x
2
y
(ii)
x
2
y
3
z
2
(iii)
y
3
z
(iv)
x
(v)
x
z
2
Question
19
19.
Which of the following gives the H.C.F of two or more polynomials?
(i)
( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
(ii)
( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
(iii)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
(iv)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
Question
20
20.
Find the H.C.F. of
26
x
2
and
4
x
(i)
2
x
2
(ii)
52
x
2
(iii)
2
x
3
(iv)
2
x
(v)
2
x
4
Question
21
21.
Factorize
(
x
4
−
2
x
3
−
57
x
2
+
98
x
+
392
)
(i)
(
x
+
7
)
(
x
−
7
)
(
x
−
4
)
(
x
+
2
)
(ii)
(
x
+
7
)
(
−
2
x
−
7
)
(
−
x
−
4
)
(
−
2
x
+
2
)
(iii)
(
x
+
7
)
(
2
x
−
7
)
(
2
x
−
4
)
(
2
x
+
2
)
(iv)
(
x
+
7
)
(
3
x
−
7
)
(
4
x
−
4
)
(
4
x
+
2
)
(v)
(
x
+
7
)
(
−
7
)
(
−
4
)
2
Question
22
22.
Which of the following are true?
a)
Every polynomial is a binomial
b)
π
r
2
is a monomial
c)
A binomial has two and only two terms
d)
A binomial may have degree 3
e)
Degree of zero polynomial is zero
(i)
{a,b}
(ii)
{a,b,c}
(iii)
{e,c}
(iv)
{b,c,d}
(v)
{a,e,d}
Question
23
23.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
x
y
(ii)
x
(iii)
y
(iv)
(
x
+
y
+
1
)
Question
24
24.
Factorize
(
9
a
2
−
30
a
b
+
25
b
2
)
(i)
(
3
a
−
3
b
)
(
3
a
−
3
b
)
(ii)
(
3
a
−
5
b
)
(
3
a
−
5
b
)
(iii)
(
3
a
−
7
b
)
(
3
a
−
7
b
)
(iv)
(
4
a
−
5
b
)
(
4
a
−
5
b
)
(v)
(
2
a
−
5
b
)
(
2
a
−
5
b
)
Question
25
25.
Factorize
(
x
2
+
10
x
+
24
)
(i)
(
x
−
4
)
(
x
−
6
)
(ii)
(
x
−
4
)
(
x
+
6
)
(iii)
(
x
+
4
)
(
x
−
6
)
(iv)
(
x
+
4
)
(
x
+
6
)
Assignment Key
1) (v)
2) (i)
3) (iv)
4) (iv)
5) (iv)
6) (v)
7) (v)
8) (ii)
9) (iv)
10) (iv)
11) (iii)
12) (iii)
13) (iv)
14) (iii)
15) (ii)
16) (iii)
17) (i)
18) (iv)
19) (iv)
20) (iv)
21) (i)
22) (iv)
23) (i)
24) (ii)
25) (iv)
