EduSahara™ Worksheet

EduSahara™ Assignment

Name : Factorisation Miscellaneous

Chapter : Factorization

Grade : ICSE Grade VIII

License : Non Commercial Use

Question 1

1.

Find the H.C.F. of
10

x

y

2
and
14

x

3

y

2

(i)

2

x

y

4
(ii)

70

x

3

y

2
(iii)

2

x

4

y

2
(iv)

2

x

y

2
(v)

2

x

2

y

2

Question 2

2.

Find the H.C.F. of
110

x

3

y

z

2
and
30

x

3

y

2

z

3

(i)

10

x

4

y

z

2
(ii)

10

x

3

y

z

2
(iii)

10

x

3

y

3

z

2
(iv)

10

x

3

y

z

4
(v)

330

x

3

y

2

z

3

Question 3

3.

Find the H.C.F. of
(

x

2

−

15

x

+

56

)
and
(

x

2

−

x

−

56

)

(i)

(

2

x

−

7

)
(ii)

(

x

−

8

)
(iii)

(

2

x

−

8

)
(iv)

(

x

−

7

)
(v)

(

x

+

7

)

Question 4

4.

Evaluate :
980 2
−
20 2

(i)

960000
(ii)

960020
(iii)

96000
(iv)

9600000
(v)

960980

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)

( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
(iii)

( H.C.F. 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.

(i)

(-1138500)
(ii)

(-1728000)
(iii)

1728000
(iv)

(-1331000)
(v)

1331000

Question 7

7.

(i)

64
(ii)

681.472
(iii)

-681.472
(iv)

-64
(v)

-168.96

Question 8

8.

Which of the following is a factor of
43

x

y

5

z

5
?

(i)

x

y

6

z

5
(ii)

x

y

z

6
(iii)

x

y

z

5
(iv)

x

2

y

z

5

Question 9

9.

Which of the following is not a factor of
35

x

5

y

4

z

4
?

(i)

7

x

5

y

4

z

3
(ii)

7

x

5

y

3

z

4
(iii)

7

x

6

y

5

z

4
(iv)

7

y

3

z

3
(v)

7

x

4

y

4

z

4

Question 10

10.

Which of the following is a factor of
(

5

x

5

+

y

3

z

4

)
?

(i)

no factors
(ii)

5

x

5
(iii)

y
(iv)

x

4

z

4
(v)

y

3

z

4

Question 11

11.

Which of the following is an irreducible factor of
5

x

4

y

3

z

2
?

(i)

x

2

y

2

z

2
(ii)

y

2

z
(iii)

x

z

2
(iv)

y
(v)

x

2

y

Question 12

12.

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

Assignment Key