EduSahara™ Assignment
Name : Factorisation Miscellaneous
Chapter : Factorization
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the H.C.F. of
18
x
2
y
3
and
30
x
y
3
(i)
6
x
2
y
3
(ii)
6
x
4
y
3
(iii)
6
x
y
3
(iv)
6
x
y
5
(v)
90
x
2
y
3
Question
2
2.
Find the H.C.F. of
68
x
3
y
3
z
2
and
8
x
2
y
2
z
3
(i)
4
x
3
y
2
z
2
(ii)
4
x
2
y
2
z
4
(iii)
136
x
3
y
3
z
3
(iv)
4
x
2
y
4
z
2
(v)
4
x
2
y
2
z
2
Question
3
3.
Find the H.C.F. of
(
x
2
+
3
x
−
10
)
and
(
x
2
−
6
x
+
8
)
(i)
(
x
−
4
)
(ii)
(
2
x
+
5
)
(iii)
(
2
x
−
2
)
(iv)
(
x
−
2
)
(v)
(
x
+
5
)
Question
4
4.
Evaluate :
985
2
−
15
2
(i)
970985
(ii)
970015
(iii)
97000
(iv)
970000
(v)
9700000
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 lowest power )
(iii)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
(iv)
( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
Question
6
6.
Find the value of
20
3
+
15
3
−
35
3
(i)
64000
(ii)
(-31500)
(iii)
(-64000)
(iv)
27000
(v)
(-27000)
Question
7
7.
Find the value of
3
3
+
6.2
3
−
9.2
3
(i)
-513.36
(ii)
-216
(iii)
216
(iv)
-1906.624
(v)
1906.624
Question
8
8.
Which of the following is a factor of
49
x
4
y
z
?
(i)
49
x
4
(ii)
49
x
4
z
2
(iii)
49
x
4
y
2
(iv)
x
5
Question
9
9.
Which of the following is not a factor of
31
x
5
y
3
z
2
?
(i)
31
x
5
y
3
z
(ii)
31
x
3
y
2
z
2
(iii)
31
x
6
y
4
z
3
(iv)
31
x
5
y
2
z
2
(v)
31
x
4
y
3
z
2
Question
10
10.
Which of the following is a factor of
(
7
x
4
+
y
4
z
)
?
(i)
x
2
z
(ii)
7
x
4
(iii)
no factors
(iv)
y
3
(v)
y
4
z
Question
11
11.
Which of the following is an irreducible factor of
21
x
3
y
z
?
(i)
x
(ii)
x
2
y
(iii)
y
2
z
(iv)
x
z
(v)
x
2
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
(iv)
(
x
+
y
+
1
)
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (iv)
5) (iii)
6) (ii)
7) (i)
8) (i)
9) (iii)
10) (iii)
11) (i)
12) (iii)
