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
38

x

2

y

2
and
10

x

3

y

3

(i)

2

x

3

y

2
(ii)

190

x

3

y

3
(iii)

2

x

2

y

2
(iv)

2

x

2

y

4
(v)

2

x

5

y

2

Question 2

2.

Find the H.C.F. of
6

x

2

y

z

3
and
22

x

y

2

z

2

(i)

2

x

y

z

2
(ii)

2

x

2

y

z

2
(iii)

66

x

2

y

2

z

3
(iv)

2

x

y

z

4
(v)

2

x

y

3

z

2

Question 3

3.

Find the H.C.F. of
(

x

2

−

49

)
and
(

x

2

+

5

x

−

14

)

(i)

(

2

x

+

7

)
(ii)

(

2

x

−

7

)
(iii)

(

x

−

2

)
(iv)

(

x

+

7

)
(v)

(

x

−

7

)

Question 4

4.

Evaluate :
990 2
−
10 2

(i)

980000
(ii)

980990
(iii)

980010
(iv)

9800000
(v)

98000

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 highest power )
(iv)

( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )

Question 6

6.

(i)

8000
(ii)

(-8000)
(iii)

1728000
(iv)

(-1728000)
(v)

(-126000)

Question 7

7.

(i)

-110.592
(ii)

110.592
(iii)

512
(iv)

-184.32
(v)

-512

Question 8

8.

Which of the following is a factor of
18

x

5

y

2

z

4
?

(i)

18

x

4

y

z

4
(ii)

x

6

y

z

4
(iii)

18

x

5

y

z

5
(iv)

18

x

4

y

z

5
(v)

18

x

4

y

3

z

4

Question 9

9.

Which of the following is not a factor of
50

x

5

y

2

z

4
?

(i)

50

x

5

y

3

z

5
(ii)

50

x

4

y

z

3
(iii)

50

x

4

y

2

z

4
(iv)

50

x

5

y

z

4
(v)

50

x

5

y

2

z

3

Question 10

10.

Which of the following is a factor of
(

7

x

3

+

y

2

z

)
?

(i)

no factors
(ii)

7

x

3
(iii)

y
(iv)

x

z
(v)

y

2

z

Question 11

11.

Which of the following is an irreducible factor of
45

x

5

y

5

z

2
?

(i)

x

z

2
(ii)

x

3

y

2

z

2
(iii)

y
(iv)

x

3

y
(v)

y

2

z

Question 12

12.

Which of the following is not an irreducible factor of
(

x

2

y

+

x

y

2

+

x

y

)
?

(i)

x

y
(ii)

(

x

+

y

+

1

)
(iii)

x
(iv)

y

Assignment Key