EduSahara™ Assignment
Name : Factorisation Miscellaneous
Chapter : Factorization
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the H.C.F. of
14
x
y
and
6
x
y
(i)
2
x
y
(ii)
42
x
y
(iii)
2
x
2
y
(iv)
2
x
y
3
(v)
2
x
4
y
Question
2
2.
Find the H.C.F. of
204
x
2
y
2
z
and
156
x
3
y
2
z
3
(i)
12
x
2
y
2
z
(ii)
12
x
3
y
2
z
(iii)
12
x
2
y
4
z
(iv)
2652
x
3
y
2
z
3
(v)
12
x
2
y
2
z
3
Question
3
3.
Find the H.C.F. of
(
x
2
+
11
x
+
18
)
and
(
x
2
−
6
x
−
16
)
(i)
(
2
x
+
2
)
(ii)
(
x
−
8
)
(iii)
(
2
x
+
9
)
(iv)
(
x
+
2
)
(v)
(
x
+
9
)
Question
4
4.
Evaluate :
990
2
−
10
2
(i)
980010
(ii)
980000
(iii)
980990
(iv)
98000
(v)
9800000
Question
5
5.
Which of the following gives the H.C.F of two or more polynomials?
(i)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
(ii)
( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
(iii)
( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
(iv)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
Question
6
6.
Find the value of
35
3
+
60
3
−
95
3
(i)
(-1728000)
(ii)
(-598500)
(iii)
1728000
(iv)
(-343000)
(v)
343000
Question
7
7.
Find the value of
1.2
3
+
6
3
−
7.2
3
(i)
13.824
(ii)
-13.824
(iii)
1728
(iv)
-155.52
(v)
-1728
Question
8
8.
Which of the following is a factor of
36
x
5
y
4
z
2
?
(i)
x
6
y
2
z
(ii)
18
x
4
y
2
z
(iii)
18
x
4
y
2
z
3
(iv)
18
x
4
y
5
z
(v)
18
x
5
y
2
z
3
Question
9
9.
Which of the following is not a factor of
39
x
3
y
3
z
3
?
(i)
3
x
3
y
3
z
2
(ii)
3
x
3
y
2
z
3
(iii)
3
x
2
y
3
z
3
(iv)
3
x
3
y
4
z
3
(v)
3
y
2
z
3
Question
10
10.
Which of the following is a factor of
(
9
x
4
+
y
2
z
3
)
?
(i)
9
x
4
(ii)
9
x
4
z
(iii)
9
y
(iv)
no factors
(v)
y
2
z
3
Question
11
11.
Which of the following is an irreducible factor of
31
x
4
y
3
z
3
?
(i)
y
(ii)
x
2
y
2
z
3
(iii)
x
z
3
(iv)
x
2
y
(v)
y
2
z
Question
12
12.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
y
(ii)
x
(iii)
(
x
+
y
+
1
)
(iv)
x
y
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (ii)
5) (iv)
6) (ii)
7) (iv)
8) (ii)
9) (iv)
10) (iv)
11) (i)
12) (iv)
