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
104
x
and
88
x
2
(i)
8
x
3
(ii)
8
x
(iii)
8
x
2
(iv)
1144
x
2
(v)
8
x
4
Question
2
2.
Find the H.C.F. of
28
x
3
y
and
8
x
y
2
(i)
4
x
y
(ii)
4
x
2
y
(iii)
4
x
y
3
(iv)
56
x
3
y
2
(v)
4
x
4
y
Question
3
3.
Find the H.C.F. of
10
x
y
2
z
and
34
x
y
2
z
2
(i)
2
x
2
y
2
z
(ii)
2
x
y
4
z
(iii)
170
x
y
2
z
2
(iv)
2
x
y
2
z
3
(v)
2
x
y
2
z
Question
4
4.
Find the H.C.F. of
(
x
2
+
7
x
−
18
)
and
(
x
2
+
3
x
−
10
)
(i)
(
2
x
−
2
)
(ii)
(
x
−
2
)
(iii)
(
2
x
+
9
)
(iv)
(
x
+
5
)
(v)
(
x
+
9
)
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)
( 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)
( 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
24
x
2
y
4
z
?
(i)
x
3
y
2
z
(ii)
24
x
y
2
z
(iii)
24
x
y
2
z
2
(iv)
24
x
y
5
z
(v)
24
x
2
y
2
z
2
Question
7
7.
Which of the following is not a factor of
43
x
y
z
5
?
(i)
x
y
z
3
(ii)
y
z
5
(iii)
x
y
2
z
6
(iv)
x
y
z
4
(v)
x
z
5
Question
8
8.
Which of the following is a factor of
(
12
x
3
+
y
3
z
4
)
?
(i)
y
(ii)
x
z
(iii)
12
x
3
(iv)
y
3
z
4
(v)
no factors
Question
9
9.
Which of the following is an irreducible factor of
19
x
5
y
5
z
5
?
(i)
y
3
z
(ii)
x
z
2
(iii)
y
(iv)
x
3
y
3
z
2
(v)
x
3
y
Question
10
10.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
(
x
+
y
+
1
)
(ii)
x
y
(iii)
x
(iv)
y
Question
11
11.
Find the H.C.F. of
70
x
3
and
190
x
3
(i)
10
x
6
(ii)
10
x
5
(iii)
10
x
3
(iv)
10
x
4
(v)
1330
x
3
Question
12
12.
Find the H.C.F. of
110
x
2
y
and
20
x
2
y
2
(i)
10
x
2
y
3
(ii)
10
x
3
y
(iii)
10
x
2
y
(iv)
220
x
2
y
2
(v)
10
x
5
y
Question
13
13.
Find the H.C.F. of
10
x
2
y
z
2
and
34
x
y
z
2
(i)
170
x
2
y
z
2
(ii)
2
x
y
3
z
2
(iii)
2
x
y
z
2
(iv)
2
x
y
z
4
(v)
2
x
2
y
z
2
Question
14
14.
Find the H.C.F. of
(
x
2
−
6
x
+
8
)
and
(
x
2
+
4
x
−
12
)
(i)
(
x
−
2
)
(ii)
(
x
+
6
)
(iii)
(
2
x
−
4
)
(iv)
(
2
x
−
2
)
(v)
(
x
−
4
)
Question
15
15.
Which of the following is a factor of
24
x
4
y
2
z
2
?
(i)
6
x
y
3
(ii)
6
x
y
2
(iii)
x
5
y
2
(iv)
6
x
4
y
2
z
3
(v)
6
x
y
2
z
3
Question
16
16.
Which of the following is not a factor of
25
x
3
y
2
z
?
(i)
x
3
y
2
(ii)
x
y
(iii)
x
3
y
z
(iv)
x
2
y
2
z
(v)
x
3
y
3
z
2
Question
17
17.
Which of the following is a factor of
(
12
x
3
+
y
5
z
3
)
?
(i)
no factors
(ii)
12
x
3
z
3
(iii)
12
y
2
(iv)
12
x
3
(v)
y
5
z
3
Question
18
18.
Which of the following is an irreducible factor of
4
x
4
y
2
z
4
?
(i)
x
(ii)
x
4
y
2
z
4
(iii)
y
2
z
(iv)
x
z
4
(v)
x
4
y
Question
19
19.
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) (ii)
2) (i)
3) (v)
4) (ii)
5) (iii)
6) (ii)
7) (iii)
8) (v)
9) (iii)
10) (ii)
11) (iii)
12) (iii)
13) (iii)
14) (i)
15) (ii)
16) (v)
17) (i)
18) (i)
19) (iv)
