EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

a)

A binomial has two and only two terms

b)

Degree of zero polynomial is zero

c)

π
r

2
is a monomial

d)

A binomial may have degree 3

e)

Every polynomial is a binomial

(i)

{b,a}
(ii)

{e,c}
(iii)

{b,a,c}
(iv)

{b,e,d}
(v)

{a,c,d}

Question 2

2.

Which of the following are polynomials?

a)

(

x

+

y

)

b)

(

x

+

y

)

(

x

−

y

)

c)

x

2

+

1

x

2

d)

x

+

1

x

e)

x

2

(i)

{b,a}
(ii)

{c,e,a}
(iii)

{d,b,a}
(iv)

{c,e}
(v)

{a,e}

Question 3

3.

Which of the following are not polynomials?

a)

(

12

x

+

4

y

)

b)

25

x

2

c)

x

+

1

x

d)

(

12

x

+

4

y

)

(

7

x

−

10

y

)

e)

(

84

x

2

−

92

x

y

−

40

y

2

)

(i)

{a,c}
(ii)

{b,d}
(iii)

{b,d,c}
(iv)

{e,a,c}
(v)

{c,d}

Question 4

4.

Which of the following are not polynomials?

a)

81

x

2

+

1

81

x

2

b)

(

11

x

+

11

y

)

c)

√x

d)

(

12

x

−

6

y

)

e)

81

x

2

(i)

{d,c}
(ii)

{d,c,a}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{a,c}

Question 5

5.

Which of the following are not polynomials?

a)

100

x

2

b)

(

9

x

+

y

)

(

7

x

−

2

y

)

c)

(

63

x

2

−

11

x

y

−

2

y

2

)

d)

√x

e)

(

7

x

−

2

y

)

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{b,d}
(iv)

{c,d,b}
(v)

{c,d}

Question 6

6.

Which of the following is a factor of
12

x

5

y

2

z

5
?

(i)

12

x

4

y

3

z

4
(ii)

x

6

y

z

4
(iii)

12

x

4

y

z

6
(iv)

12

x

5

y

z

6
(v)

12

x

4

y

z

4

Question 7

7.

Which of the following is not a factor of
34

x

4

y

4

z

3
?

(i)

34

x

5

y

5

z

4
(ii)

34

x

4

y

4

z

2
(iii)

34

x

3

y

4

z

3
(iv)

34

x

4

y

3

z

3
(v)

34

y

Question 8

8.

Which of the following is a factor of
(

10

x

2

+

y

z

2

)
?

(i)

5

y
(ii)

no factors
(iii)

y

z

2
(iv)

10

x

2
(v)

5

x

z

Question 9

9.

Which of the following is an irreducible factor of
16

x

4

y

2

z

4
?

(i)

x

4

y

2

z

4
(ii)

y

2

z
(iii)

x

4

y
(iv)

x

z

4
(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

+

y

+

1

)
(iii)

x
(iv)

x

y

Question 11

11.

27

g

2
=

(i)

27

✕

g

✕

g
(ii)

29

✕

g

✕

g
(iii)

27

✕

g

✕

g

✕

g
(iv)

24

✕

g

✕

g
(v)

27

✕

g

Question 12

12.

16

d

2

e

2
=

(i)

19

✕

d

✕

d

✕

e

✕

e
(ii)

16

✕

d

✕

d

✕

d

✕

e

✕

e
(iii)

13

✕

d

✕

d

✕

e

✕

e
(iv)

16

✕

d

✕

e

✕

e
(v)

16

✕

d

✕

d

✕

e

✕

e

Question 13

13.

21

i

2

j

2

k

4
=

(i)

21

✕

i

✕

i

✕

i

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k

(ii)

21

✕

i

✕

i

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k
(iii)

23

✕

i

✕

i

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k
(iv)

21

✕

i

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k
(v)

19

✕

i

✕

i

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k

Question 14

14.

d

✕

d

✕

d
=

(i)

d

2
(ii)

4

d

3
(iii)

d

4
(iv)

d

3
(v)

−

2

d

3

Question 15

15.

5

✕

p

✕

p

✕

p

✕

q

✕

q
=

(i)

5

p

4

q

2
(ii)

5

p

3

q

2
(iii)

8

p

3

q

2
(iv)

5

p

2

q

2
(v)

2

p

3

q

2

Question 16

16.

f

✕

f

✕

f

✕

g

✕

g

✕

g

✕

h

✕

h

✕

h
=

(i)

4

f

3

g

3

h

3
(ii)

f

2

g

3

h

3
(iii)

−

2

f

3

g

3

h

3
(iv)

f

4

g

3

h

3
(v)

f

3

g

3

h

3

Assignment Key