EduSahara™ Assignment
Name : H.C.F of Polynomials
Chapter : Factorisation
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the H.C.F. of
130
x
3
and
70
x
2
(i)
10
x
2
(ii)
10
x
3
(iii)
910
x
3
(iv)
10
x
5
(v)
10
x
4
Question
2
2.
Find the H.C.F. of
152
x
2
y
2
and
56
x
y
(i)
8
x
2
y
(ii)
8
x
y
(iii)
1064
x
2
y
2
(iv)
8
x
y
3
(v)
8
x
4
y
Question
3
3.
Find the H.C.F. of
76
x
2
y
3
z
2
and
68
x
2
y
3
z
2
(i)
4
x
3
y
3
z
2
(ii)
4
x
2
y
3
z
2
(iii)
4
x
2
y
3
z
4
(iv)
4
x
2
y
5
z
2
(v)
1292
x
2
y
3
z
2
Question
4
4.
Find the H.C.F. of
(
x
2
+
x
−
20
)
and
(
x
2
+
8
x
+
15
)
(i)
(
2
x
+
5
)
(ii)
(
2
x
−
4
)
(iii)
(
x
+
5
)
(iv)
(
x
−
4
)
(v)
(
x
+
3
)
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 lowest power )
(ii)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
(iii)
( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
(iv)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
Question
6
6.
Which of the following is a factor of
44
x
4
y
4
z
3
?
(i)
22
x
4
y
z
4
(ii)
22
x
3
y
z
4
(iii)
22
x
3
y
(iv)
x
5
y
(v)
22
x
3
y
5
Question
7
7.
Which of the following is not a factor of
45
x
2
y
z
4
?
(i)
15
x
3
y
2
z
4
(ii)
15
x
2
z
4
(iii)
15
y
z
3
(iv)
15
x
2
y
z
3
(v)
15
x
y
z
4
Question
8
8.
Which of the following is a factor of
(
6
x
5
+
y
5
z
5
)
?
(i)
x
2
z
3
(ii)
y
(iii)
6
x
5
(iv)
no factors
(v)
y
5
z
5
Question
9
9.
Which of the following is an irreducible factor of
2
x
4
y
2
z
4
?
(i)
x
3
y
2
z
4
(ii)
x
3
y
(iii)
y
2
z
(iv)
y
(v)
x
z
4
Question
10
10.
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
Question
11
11.
Find the H.C.F. of
12
x
and
30
x
2
(i)
60
x
2
(ii)
6
x
4
(iii)
6
x
2
(iv)
6
x
(v)
6
x
3
Question
12
12.
Find the H.C.F. of
12
x
3
y
3
and
44
x
2
y
(i)
132
x
3
y
3
(ii)
4
x
3
y
(iii)
4
x
2
y
3
(iv)
4
x
5
y
(v)
4
x
2
y
Question
13
13.
Find the H.C.F. of
12
x
3
y
3
z
3
and
28
x
3
y
z
(i)
4
x
3
y
z
(ii)
4
x
4
y
z
(iii)
4
x
3
y
3
z
(iv)
84
x
3
y
3
z
3
(v)
4
x
3
y
z
3
Question
14
14.
Find the H.C.F. of
(
x
2
−
7
x
−
18
)
and
(
x
2
+
x
−
2
)
(i)
(
2
x
−
9
)
(ii)
(
x
−
9
)
(iii)
(
2
x
+
2
)
(iv)
(
x
−
1
)
(v)
(
x
+
2
)
Question
15
15.
Which of the following is a factor of
30
x
y
5
z
2
?
(i)
15
x
y
5
z
(ii)
x
2
y
5
z
(iii)
15
x
y
6
z
(iv)
15
x
y
5
z
3
Question
16
16.
Which of the following is not a factor of
10
x
y
z
4
?
(i)
2
x
y
z
3
(ii)
2
x
y
z
4
(iii)
2
x
y
2
z
4
(iv)
2
x
z
4
(v)
2
y
z
4
Question
17
17.
Which of the following is a factor of
(
12
x
3
+
y
5
z
2
)
?
(i)
no factors
(ii)
y
5
z
2
(iii)
4
x
z
2
(iv)
12
x
3
(v)
4
y
5
Question
18
18.
Which of the following is an irreducible factor of
34
x
2
y
5
z
2
?
(i)
y
(ii)
x
2
y
(iii)
x
2
y
5
z
2
(iv)
x
z
2
(v)
y
5
z
Question
19
19.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
x
y
(ii)
x
(iii)
(
x
+
y
+
1
)
(iv)
y
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (iii)
5) (ii)
6) (iii)
7) (i)
8) (iv)
9) (iv)
10) (iv)
11) (iv)
12) (v)
13) (i)
14) (v)
15) (i)
16) (iii)
17) (i)
18) (i)
19) (i)
