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
50
x
2
and
30
x
2
(i)
10
x
2
(ii)
150
x
2
(iii)
10
x
3
(iv)
10
x
5
(v)
10
x
4
Question
2
2.
Find the H.C.F. of
20
x
3
y
2
and
30
x
3
y
(i)
10
x
3
y
3
(ii)
10
x
3
y
(iii)
10
x
6
y
(iv)
10
x
4
y
(v)
60
x
3
y
2
Question
3
3.
Find the H.C.F. of
30
x
y
2
z
2
and
102
x
y
z
3
(i)
6
x
y
z
4
(ii)
6
x
2
y
z
2
(iii)
6
x
y
3
z
2
(iv)
6
x
y
z
2
(v)
510
x
y
2
z
3
Question
4
4.
Find the H.C.F. of
(
x
2
−
6
x
−
27
)
and
(
x
2
−
4
x
−
21
)
(i)
(
2
x
+
3
)
(ii)
(
2
x
−
9
)
(iii)
(
x
+
3
)
(iv)
(
x
−
7
)
(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 lowest 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 highest power )
(iv)
( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
Question
6
6.
Which of the following is a factor of
15
x
3
y
3
z
5
?
(i)
x
3
y
3
z
6
(ii)
y
3
z
6
(iii)
x
4
y
3
(iv)
y
4
(v)
y
3
Question
7
7.
Which of the following is not a factor of
6
x
5
y
2
z
3
?
(i)
x
3
z
3
(ii)
x
5
y
2
z
2
(iii)
x
4
y
2
z
3
(iv)
x
5
y
z
3
(v)
x
6
y
3
z
4
Question
8
8.
Which of the following is a factor of
(
10
x
3
+
y
4
z
3
)
?
(i)
y
(ii)
10
x
3
(iii)
no factors
(iv)
y
4
z
3
(v)
x
z
2
Question
9
9.
Which of the following is an irreducible factor of
5
x
y
4
z
3
?
(i)
z
(ii)
x
2
y
4
z
2
(iii)
x
z
2
(iv)
x
2
y
(v)
y
4
z
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
(iii)
x
y
(iv)
y
Question
11
11.
Find the H.C.F. of
22
x
and
10
x
2
(i)
2
x
2
(ii)
2
x
(iii)
2
x
3
(iv)
2
x
4
(v)
110
x
2
Question
12
12.
Find the H.C.F. of
22
x
y
2
and
26
x
2
y
3
(i)
2
x
4
y
2
(ii)
2
x
y
2
(iii)
2
x
2
y
2
(iv)
2
x
y
4
(v)
286
x
2
y
3
Question
13
13.
Find the H.C.F. of
204
x
3
y
z
and
84
x
y
z
(i)
12
x
y
3
z
(ii)
1428
x
3
y
z
(iii)
12
x
y
z
(iv)
12
x
y
z
3
(v)
12
x
2
y
z
Question
14
14.
Find the H.C.F. of
(
x
2
−
2
x
−
63
)
and
(
x
2
−
x
−
72
)
(i)
(
x
+
7
)
(ii)
(
2
x
+
7
)
(iii)
(
x
−
9
)
(iv)
(
x
+
8
)
(v)
(
2
x
−
9
)
Question
15
15.
Which of the following is a factor of
48
x
5
y
5
z
?
(i)
x
6
y
(ii)
2
x
5
y
z
2
(iii)
2
x
y
z
2
(iv)
2
x
y
6
(v)
2
x
y
Question
16
16.
Which of the following is not a factor of
16
x
2
y
5
z
3
?
(i)
x
y
5
z
3
(ii)
x
2
y
6
z
4
(iii)
x
2
y
5
z
2
(iv)
y
5
z
(v)
x
2
y
4
z
3
Question
17
17.
Which of the following is a factor of
(
4
x
3
+
y
5
z
2
)
?
(i)
4
x
2
z
(ii)
4
y
3
(iii)
no factors
(iv)
y
5
z
2
(v)
4
x
3
Question
18
18.
Which of the following is an irreducible factor of
10
x
3
y
3
z
4
?
(i)
x
3
y
2
z
3
(ii)
x
z
3
(iii)
x
3
y
(iv)
y
2
z
(v)
z
Question
19
19.
Which of the following is not an irreducible factor of
(
x
2
y
+
x
y
2
+
x
y
)
?
(i)
y
(ii)
x
y
(iii)
x
(iv)
(
x
+
y
+
1
)
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (iii)
5) (iv)
6) (v)
7) (v)
8) (iii)
9) (i)
10) (iii)
11) (ii)
12) (ii)
13) (iii)
14) (iii)
15) (v)
16) (ii)
17) (iii)
18) (v)
19) (ii)
