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
16
x
3
(i)
8
x
4
(ii)
208
x
3
(iii)
8
x
2
(iv)
8
x
(v)
8
x
3
Question
2
2.
Find the H.C.F. of
228
x
3
y
2
and
156
x
3
y
2
(i)
12
x
3
y
4
(ii)
12
x
3
y
2
(iii)
2964
x
3
y
2
(iv)
12
x
4
y
2
(v)
12
x
6
y
2
Question
3
3.
Find the H.C.F. of
14
x
y
2
z
and
38
x
y
3
z
3
(i)
2
x
2
y
2
z
(ii)
2
x
y
2
z
(iii)
2
x
y
4
z
(iv)
266
x
y
3
z
3
(v)
2
x
y
2
z
3
Question
4
4.
Find the H.C.F. of
(
x
2
−
11
x
+
24
)
and
(
x
2
−
17
x
+
72
)
(i)
(
2
x
−
8
)
(ii)
(
2
x
−
3
)
(iii)
(
x
−
8
)
(iv)
(
x
−
9
)
(v)
(
x
−
3
)
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.
Which of the following is a factor of
42
x
5
y
5
z
2
?
(i)
6
x
5
y
5
z
3
(ii)
6
x
2
y
6
z
2
(iii)
6
x
2
y
5
z
2
(iv)
6
x
2
y
5
z
3
(v)
x
6
y
5
z
2
Question
7
7.
Which of the following is not a factor of
25
x
5
y
5
z
?
(i)
5
x
4
y
5
z
(ii)
5
x
5
y
4
z
(iii)
5
x
5
y
5
(iv)
5
x
5
y
6
z
2
(v)
5
x
4
y
Question
8
8.
Which of the following is a factor of
(
11
x
2
+
y
2
z
2
)
?
(i)
y
2
(ii)
y
2
z
2
(iii)
no factors
(iv)
11
x
2
(v)
x
z
Question
9
9.
Which of the following is an irreducible factor of
2
x
2
y
5
z
4
?
(i)
x
z
2
(ii)
y
2
z
(iii)
x
2
y
2
z
2
(iv)
z
(v)
x
2
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)
y
(iv)
x
Question
11
11.
Find the H.C.F. of
156
x
2
and
24
x
2
(i)
12
x
3
(ii)
12
x
4
(iii)
12
x
2
(iv)
312
x
2
(v)
12
x
5
Question
12
12.
Find the H.C.F. of
228
x
3
y
3
and
204
x
y
(i)
12
x
y
(ii)
12
x
y
3
(iii)
12
x
4
y
(iv)
12
x
2
y
(v)
3876
x
3
y
3
Question
13
13.
Find the H.C.F. of
12
x
y
2
z
2
and
102
x
y
z
(i)
6
x
y
3
z
(ii)
6
x
y
z
3
(iii)
204
x
y
2
z
2
(iv)
6
x
2
y
z
(v)
6
x
y
z
Question
14
14.
Find the H.C.F. of
(
x
2
+
10
x
+
21
)
and
(
x
2
+
6
x
−
7
)
(i)
(
x
+
3
)
(ii)
(
x
+
7
)
(iii)
(
x
−
1
)
(iv)
(
2
x
+
7
)
(v)
(
2
x
+
3
)
Question
15
15.
Which of the following is a factor of
35
x
5
y
4
z
3
?
(i)
35
x
3
y
4
z
4
(ii)
35
x
3
y
4
z
(iii)
35
x
3
y
5
z
(iv)
35
x
5
y
4
z
4
(v)
x
6
y
4
z
Question
16
16.
Which of the following is not a factor of
25
x
2
y
z
3
?
(i)
x
2
y
z
2
(ii)
x
2
z
3
(iii)
x
2
y
2
z
4
(iv)
x
y
z
3
(v)
x
z
2
Question
17
17.
Which of the following is a factor of
(
5
x
4
+
y
5
z
)
?
(i)
x
4
z
(ii)
y
5
z
(iii)
y
4
(iv)
no factors
(v)
5
x
4
Question
18
18.
Which of the following is an irreducible factor of
16
x
5
y
3
z
?
(i)
x
5
y
(ii)
x
5
y
3
z
2
(iii)
y
3
z
(iv)
x
z
2
(v)
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
(ii)
y
(iii)
x
(iv)
(
x
+
y
+
1
)
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (iii)
5) (iii)
6) (iii)
7) (iv)
8) (iii)
9) (iv)
10) (ii)
11) (iii)
12) (i)
13) (v)
14) (ii)
15) (ii)
16) (iii)
17) (iv)
18) (v)
19) (i)
