EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

a)

A binomial may have degree 3

b)

π
r

2
is a monomial

c)

Every polynomial is a binomial

d)

Degree of zero polynomial is zero

e)

A binomial has two and only two terms

(i)

{c,d,e}
(ii)

{c,a,b}
(iii)

{c,a}
(iv)

{a,b,e}
(v)

{d,b}

Question 2

2.

Which of the following are polynomials?

a)

x

+

1

x

b)

x

2

+

1

x

2

c)

x

2

d)

(

x

+

y

)

(

x

−

y

)

e)

(

x

+

y

)

(i)

{d,a,c}
(ii)

{b,e,c}
(iii)

{c,e}
(iv)

{a,c}
(v)

{b,e}

Question 3

3.

Which of the following are not polynomials?

a)

25

x

2

b)

(

3

x

+

7

y

)

c)

(

3

x

+

7

y

)

(

12

x

−

3

y

)

d)

(

36

x

2

+

75

x

y

−

21

y

2

)

e)

x

+

1

x

(i)

{a,c}
(ii)

{d,a,c}
(iii)

{c,e}
(iv)

{b,e,c}
(v)

{b,e}

Question 4

4.

Which of the following are not polynomials?

a)

64

x

2

+

1

64

x

2

b)

(

7

x

−

8

y

)

c)

64

x

2

d)

√x

e)

(

5

x

+

9

y

)

(i)

{a,d}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{c,d}
(v)

{c,d,a}

Question 5

5.

Which of the following are not polynomials?

a)

√x

b)

(

32

x

2

−

20

x

y

−

63

y

2

)

c)

(

4

x

−

7

y

)

d)

81

x

2

e)

(

8

x

+

9

y

)

(

4

x

−

7

y

)

(i)

{b,a}
(ii)

{d,b,a}
(iii)

{a,e}
(iv)

{c,e}
(v)

{c,e,a}

Question 6

6.

Which of the following is a factor of
6

x

4

y

2

z
?

(i)

3

x

3

y

z

2
(ii)

3

x

3

y

3

z
(iii)

3

x

3

y

z
(iv)

x

5

y

z
(v)

3

x

4

y

z

2

Question 7

7.

Which of the following is not a factor of
16

x

5

y

2

z

2
?

(i)

4

x

5

y

z

2
(ii)

4

x

6

y

3

z

2
(iii)

4

x

4

y

2

z

2
(iv)

4

x

5

y

2

z
(v)

4

y

2

z

Question 8

8.

Which of the following is a factor of
(

6

x

2

+

y

2

z

)
?

(i)

x

2

z
(ii)

y
(iii)

6

x

2
(iv)

no factors
(v)

y

2

z

Question 9

9.

Which of the following is an irreducible factor of
31

x

4

y

z
?

(i)

y

2

z
(ii)

x
(iii)

x

2

y
(iv)

x

2

y

2

z

2
(v)

x

z

2

Question 10

10.

Which of the following is not an irreducible factor of
(

x

2

y

+

x

y

2

+

x

y

)
?

(i)

x
(ii)

y
(iii)

(

x

+

y

+

1

)
(iv)

x

y

Question 11

11.

f

4
=

(i)

f

✕

f

✕

f

✕

f

✕

f
(ii)

-2

✕

f

✕

f

✕

f

✕

f
(iii)

4

✕

f

✕

f

✕

f

✕

f
(iv)

f

✕

f

✕

f

✕

f
(v)

f

✕

f

✕

f

Question 12

12.

12

p

4

q

4
=

(i)

12

✕

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

q

✕

q
(ii)

15

✕

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

q

✕

q
(iii)

12

✕

p

✕

p

✕

p

✕

q

✕

q

✕

q

✕

q

(iv)

12

✕

p

✕

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

q

✕

q

(v)

10

✕

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

q

✕

q

Question 13

13.

i

4

j

3

k

4
=

(i)

3

✕

i

✕

i

✕

i

✕

i

✕

j

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k

(ii)

i

✕

i

✕

i

✕

i

✕

i

✕

j

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k

(iii)

-2

✕

i

✕

i

✕

i

✕

i

✕

j

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k

(iv)

i

✕

i

✕

i

✕

j

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k

(v)

i

✕

i

✕

i

✕

i

✕

j

✕

j

✕

j

✕

k

✕

k

✕

k

✕

k

Question 14

14.

i

✕

i

✕

i

✕

i
=

(i)

−

2

i

4
(ii)

4

i

4
(iii)

i

4
(iv)

i

3
(v)

i

5

Question 15

15.

26

✕

c

✕

c

✕

c

✕

c

✕

d

✕

d

✕

d
=

(i)

28

c

4

d

3
(ii)

26

c

4

d

3
(iii)

26

c

3

d

3
(iv)

26

c

5

d

3
(v)

24

c

4

d

3

Question 16

16.

8

✕

c

✕

c

✕

c

✕

d

✕

d

✕

d

✕

d

✕

e

✕

e

✕

e

=

(i)

8

c

2

d

4

e

3
(ii)

8

c

3

d

4

e

3
(iii)

8

c

4

d

4

e

3
(iv)

5

c

3

d

4

e

3
(v)

11

c

3

d

4

e

3

Assignment Key