EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

a)

Degree of zero polynomial is zero

b)

π
r

2
is a monomial

c)

A binomial has two and only two terms

d)

Every polynomial is a binomial

e)

A binomial may have degree 3

(i)

{d,c}
(ii)

{b,c,e}
(iii)

{a,b,c}
(iv)

{a,d,e}
(v)

{a,b}

Question 2

2.

Which of the following are polynomials?

a)

(

x

+

y

)

b)

x

2

c)

(

x

+

y

)

(

x

−

y

)

d)

x

+

1

x

e)

x

2

+

1

x

2

(i)

{d,b}
(ii)

{a,b}
(iii)

{d,b,a}
(iv)

{e,c,a}
(v)

{c,a}

Question 3

3.

Which of the following are not polynomials?

a)

9

x

2

b)

(

12

x

+

4

y

)

(

5

x

−

4

y

)

c)

(

60

x

2

−

28

x

y

−

16

y

2

)

d)

x

+

1

x

e)

(

12

x

+

4

y

)

(i)

{e,a,b}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{a,b}
(v)

{c,d}

Question 4

4.

Which of the following are not polynomials?

a)

(

11

x

+

6

y

)

b)

√x

c)

4

x

2

+

1

4

x

2

d)

(

8

x

−

3

y

)

e)

4

x

2

(i)

{d,c}
(ii)

{a,b}
(iii)

{b,c}
(iv)

{d,c,b}
(v)

{e,a,b}

Question 5

5.

Which of the following are not polynomials?

a)

81

x

2

b)

√x

c)

(

10

x

−

9

y

)

d)

(

70

x

2

−

13

x

y

−

45

y

2

)

e)

(

7

x

+

5

y

)

(

10

x

−

9

y

)

(i)

{a,b}
(ii)

{b,e}
(iii)

{c,e,b}
(iv)

{d,a,b}
(v)

{c,e}

Question 6

6.

Which of the following is a factor of
32

x

2

y

2

z

4
?

(i)

x

y

z

5
(ii)

x

y

z

2
(iii)

x

y

3

z

2
(iv)

x

3

y

z

2
(v)

x

2

y

z

5

Question 7

7.

Which of the following is not a factor of
34

x

y

3

z

5
?

(i)

2

x

2

y

4

z

6
(ii)

2

x

y

2

z

4
(iii)

2

x

y

3

z

4
(iv)

2

y

3

z

5
(v)

2

x

y

2

z

5

Question 8

8.

Which of the following is a factor of
(

6

x

5

+

y

2

z

2

)
?

(i)

no factors
(ii)

6

x

5
(iii)

3

x

4

z
(iv)

y

2

z

2
(v)

3

y

Question 9

9.

Which of the following is an irreducible factor of
45

x

5

y

3

z

4
?

(i)

x

5

y
(ii)

y

2

z
(iii)

x

5

y

2

z

3
(iv)

x

z

3
(v)

x

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)

x
(iv)

y

Question 11

11.

i

2
=

(i)

i

✕

i
(ii)

-2

✕

i

✕

i
(iii)

4

✕

i

✕

i
(iv)

i
(v)

i

✕

i

✕

i

Question 12

12.

g

3

h

4
=

(i)

4

✕

g

✕

g

✕

g

✕

h

✕

h

✕

h

✕

h
(ii)

-2

✕

g

✕

g

✕

g

✕

h

✕

h

✕

h

✕

h
(iii)

g

✕

g

✕

g

✕

g

✕

h

✕

h

✕

h

✕

h
(iv)

g

✕

g

✕

g

✕

h

✕

h

✕

h

✕

h
(v)

g

✕

g

✕

h

✕

h

✕

h

✕

h

Question 13

13.

17

n

3

o

4

p

2
=

(i)

15

✕

n

✕

n

✕

n

✕

o

✕

o

✕

o

✕

o

✕

p

✕

p

(ii)

17

✕

n

✕

n

✕

n

✕

o

✕

o

✕

o

✕

o

✕

p

✕

p

(iii)

17

✕

n

✕

n

✕

o

✕

o

✕

o

✕

o

✕

p

✕

p

(iv)

20

✕

n

✕

n

✕

n

✕

o

✕

o

✕

o

✕

o

✕

p

✕

p

(v)

17

✕

n

✕

n

✕

n

✕

n

✕

o

✕

o

✕

o

✕

o

✕

p

✕

p

Question 14

14.

20

✕

c

✕

c
=

(i)

23

c

2
(ii)

20

c

2
(iii)

20

c

3
(iv)

20

c
(v)

18

c

2

Question 15

15.

a

✕

a

✕

a

✕

b

✕

b

✕

b

✕

b
=

(i)

a

2

b

4
(ii)

a

3

b

4
(iii)

a

4

b

4
(iv)

4

a

3

b

4
(v)

−

2

a

3

b

4

Question 16

16.

a

✕

a

✕

b

✕

b

✕

c

✕

c

✕

c
=

(i)

a

3

b

2

c

3
(ii)

3

a

2

b

2

c

3
(iii)

−

a

2

b

2

c

3
(iv)

a

b

2

c

3
(v)

a

2

b

2

c

3

Assignment Key