EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

a)

Every polynomial is a binomial

b)

π
r

2
is a monomial

c)

Degree of zero polynomial is zero

d)

A binomial may have degree 3

e)

A binomial has two and only two terms

(i)

{b,d,e}
(ii)

{c,d}
(iii)

{a,c,e}
(iv)

{a,b}
(v)

{a,b,d}

Question 2

2.

Which of the following are polynomials?

a)

x

+

1

x

b)

(

x

+

y

)

(

x

−

y

)

c)

x

2

d)

(

x

+

y

)

e)

x

2

+

1

x

2

(i)

{b,d}
(ii)

{b,d,c}
(iii)

{e,a,c}
(iv)

{a,c}
(v)

{c,d}

Question 3

3.

Which of the following are not polynomials?

a)

25

x

2

b)

(

6

x

+

4

y

)

(

5

x

−

6

y

)

c)

(

6

x

+

4

y

)

d)

x

+

1

x

e)

(

30

x

2

−

16

x

y

−

24

y

2

)

(i)

{c,d,b}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{b,d}
(v)

{e,a,b}

Question 4

4.

Which of the following are not polynomials?

a)

64

x

2

+

1

64

x

2

b)

√x

c)

(

4

x

−

5

y

)

d)

(

x

+

3

y

)

e)

64

x

2

(i)

{a,b}
(ii)

{e,c,a}
(iii)

{c,a}
(iv)

{d,b,a}
(v)

{d,b}

Question 5

5.

Which of the following are not polynomials?

a)

√x

b)

(

77

x

2

−

93

x

y

−

44

y

2

)

c)

(

11

x

+

4

y

)

(

7

x

−

11

y

)

d)

(

7

x

−

11

y

)

e)

36

x

2

(i)

{a,c}
(ii)

{b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{e,b,a}

Question 6

6.

Which of the following is a factor of
22

x

3

y

3

z

3
?

(i)

x

y

3

z

4
(ii)

x

3

y

3

z

4
(iii)

x

y

3
(iv)

x

4

y

3
(v)

x

y

4

Question 7

7.

Which of the following is not a factor of
33

x

y

z

2
?

(i)

11

x

y

2

z

2
(ii)

11

x

z

2
(iii)

11

y

z

2
(iv)

11

x

y

z
(v)

11

y

z

Question 8

8.

Which of the following is a factor of
(

4

x

4

+

y

z

3

)
?

(i)

4

x

4
(ii)

no factors
(iii)

y

z

3
(iv)

2

x

3

z

3
(v)

2

y

Question 9

9.

Which of the following is an irreducible factor of
33

x

y

3

z
?

(i)

x

z

2
(ii)

x

2

y

3

z

2
(iii)

y

3

z
(iv)

x

2

y
(v)

x

Question 10

10.

Which of the following is not an irreducible factor of
(

x

2

y

+

x

y

2

+

x

y

)
?

(i)

y
(ii)

x
(iii)

(

x

+

y

+

1

)
(iv)

x

y

Question 11

11.

g

2
=

(i)

g
(ii)

g

✕

g

✕

g
(iii)

-2

✕

g

✕

g
(iv)

g

✕

g
(v)

3

✕

g

✕

g

Question 12

12.

k

3

l

4
=

(i)

3

✕

k

✕

k

✕

k

✕

l

✕

l

✕

l

✕

l
(ii)

k

✕

k

✕

k

✕

l

✕

l

✕

l

✕

l
(iii)

k

✕

k

✕

k

✕

k

✕

l

✕

l

✕

l

✕

l
(iv)

-2

✕

k

✕

k

✕

k

✕

l

✕

l

✕

l

✕

l
(v)

k

✕

k

✕

l

✕

l

✕

l

✕

l

Question 13

13.

23

f

4

g

3

h

2
=

(i)

23

✕

f

✕

f

✕

f

✕

f

✕

g

✕

g

✕

g

✕

h

✕

h

(ii)

25

✕

f

✕

f

✕

f

✕

f

✕

g

✕

g

✕

g

✕

h

✕

h

(iii)

23

✕

f

✕

f

✕

f

✕

f

✕

f

✕

g

✕

g

✕

g

✕

h

✕

h

(iv)

20

✕

f

✕

f

✕

f

✕

f

✕

g

✕

g

✕

g

✕

h

✕

h

(v)

23

✕

f

✕

f

✕

f

✕

g

✕

g

✕

g

✕

h

✕

h

Question 14

14.

22

✕

n

✕

n
=

(i)

20

n

2
(ii)

22

n

2
(iii)

22

n
(iv)

22

n

3
(v)

24

n

2

Question 15

15.

7

✕

h

✕

h

✕

i

✕

i

✕

i

✕

i
=

(i)

7

h

3

i

4
(ii)

10

h

2

i

4
(iii)

7

h

2

i

4
(iv)

7

h

i

4
(v)

5

h

2

i

4

Question 16

16.

a

✕

a

✕

a

✕

b

✕

b

✕

c

✕

c
=

(i)

−

a

3

b

2

c

2
(ii)

4

a

3

b

2

c

2
(iii)

a

3

b

2

c

2
(iv)

a

4

b

2

c

2
(v)

a

2

b

2

c

2

Assignment Key