EduSahara™ Assignment
Name : Factorisation Miscellaneous
Chapter : Factorization
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the H.C.F. of
24
x
y
2
and
60
x
3
y
2
(i)
12
x
y
4
(ii)
120
x
3
y
2
(iii)
12
x
4
y
2
(iv)
12
x
y
2
(v)
12
x
2
y
2
Question
2
2.
Find the H.C.F. of
24
x
y
3
z
2
and
104
x
3
y
2
z
(i)
8
x
y
4
z
(ii)
312
x
3
y
3
z
2
(iii)
8
x
y
2
z
(iv)
8
x
y
2
z
3
(v)
8
x
2
y
2
z
Question
3
3.
Find the H.C.F. of
(
x
2
−
6
x
−
27
)
and
(
x
2
+
11
x
+
24
)
(i)
(
x
+
3
)
(ii)
(
x
−
9
)
(iii)
(
x
+
8
)
(iv)
(
2
x
−
9
)
(v)
(
2
x
+
3
)
Question
4
4.
Evaluate :
985
2
−
15
2
(i)
970015
(ii)
970985
(iii)
970000
(iv)
97000
(v)
9700000
Question
5
5.
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 highest power )
(ii)
( H.C.F. 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
20
3
+
60
3
−
80
3
(i)
(-288000)
(ii)
64000
(iii)
(-1728000)
(iv)
(-64000)
(v)
1728000
Question
7
7.
Find the value of
9.4
3
+
9.2
3
−
18.6
3
(i)
6644.672
(ii)
-4825.584
(iii)
-6229.504
(iv)
6229.504
(v)
-6644.672
Question
8
8.
Which of the following is a factor of
15
x
5
y
5
z
3
?
(i)
x
6
y
3
z
2
(ii)
x
5
y
3
z
4
(iii)
x
3
y
3
z
2
(iv)
x
3
y
3
z
4
(v)
x
3
y
6
z
2
Question
9
9.
Which of the following is not a factor of
28
x
5
y
3
z
5
?
(i)
7
x
6
y
4
z
5
(ii)
7
x
5
y
2
z
5
(iii)
7
x
z
4
(iv)
7
x
4
y
3
z
5
(v)
7
x
5
y
3
z
4
Question
10
10.
Which of the following is a factor of
(
11
x
4
+
y
2
z
4
)
?
(i)
y
(ii)
x
4
z
2
(iii)
y
2
z
4
(iv)
no factors
(v)
11
x
4
Question
11
11.
Which of the following is an irreducible factor of
16
x
4
y
z
2
?
(i)
x
4
y
(ii)
x
4
y
2
z
2
(iii)
y
2
z
(iv)
x
z
2
(v)
z
Question
12
12.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
(
x
+
y
+
1
)
(ii)
x
(iii)
y
(iv)
x
y
Assignment Key
1) (iv)
2) (iii)
3) (i)
4) (iii)
5) (iv)
6) (i)
7) (ii)
8) (iii)
9) (i)
10) (iv)
11) (v)
12) (iv)
