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 may have degree 3

d)

Every polynomial is a binomial

e)

A binomial has two and only two terms

(i)

{a,d,e}
(ii)

{b,c,e}
(iii)

{d,c}
(iv)

{a,b}
(v)

{a,b,c}

Question 2

2.

Which of the following are polynomials?

a)

(

x

+

y

)

(

x

−

y

)

b)

x

2

+

1

x

2

c)

x

+

1

x

d)

x

2

e)

(

x

+

y

)

(i)

{b,e}
(ii)

{c,a,d}
(iii)

{d,e}
(iv)

{a,d}
(v)

{b,e,d}

Question 3

3.

Which of the following are not polynomials?

a)

121

x

2

b)

(

10

x

+

8

y

)

c)

(

120

x

2

+

76

x

y

−

16

y

2

)

d)

(

10

x

+

8

y

)

(

12

x

−

2

y

)

e)

x

+

1

x

(i)

{b,e,d}
(ii)

{b,e}
(iii)

{a,d}
(iv)

{c,a,d}
(v)

{d,e}

Question 4

4.

Which of the following are not polynomials?

a)

(

4

x

−

2

y

)

b)

36

x

2

c)

(

4

x

+

12

y

)

d)

36

x

2

+

1

36

x

2

e)

√x

(i)

{c,a,d}
(ii)

{b,e,d}
(iii)

{d,e}
(iv)

{a,d}
(v)

{b,e}

Question 5

5.

Which of the following are not polynomials?

a)

(

8

x

+

2

y

)

(

5

x

−

12

y

)

b)

49

x

2

c)

√x

d)

(

5

x

−

12

y

)

e)

(

40

x

2

−

86

x

y

−

24

y

2

)

(i)

{a,c}
(ii)

{d,c}
(iii)

{e,b,a}
(iv)

{d,c,a}
(v)

{b,a}

Question 6

6.

Which of the following is a factor of
16

x

y

5

z

4
?

(i)

8

y

6

z

3
(ii)

8

x

y

2

z

5
(iii)

8

y

2

z

5
(iv)

x

2

y

2

z

3
(v)

8

y

2

z

3

Question 7

7.

Which of the following is not a factor of
38

x

y

3

z

5
?

(i)

x

y

3

z

4
(ii)

y

3

z

5
(iii)

x

y

2

z

5
(iv)

x

y

4

z

6

Question 8

8.

Which of the following is a factor of
(

12

x

3

+

y

3

z

3

)
?

(i)

no factors
(ii)

x

z

3
(iii)

12

x

3
(iv)

y

3

z

3
(v)

y

Question 9

9.

Which of the following is an irreducible factor of
43

x

2

y

4

z

2
?

(i)

x

2

y

3

z

2
(ii)

x

2

y
(iii)

y

3

z
(iv)

x

z

2
(v)

y

Question 10

10.

Which of the following is not an irreducible factor of
(

x

2

y

+

x

y

2

+

x

y

)
?

(i)

x
(ii)

(

x

+

y

+

1

)
(iii)

x

y
(iv)

y

Question 11

11.

e

2
=

(i)

e
(ii)

e

✕

e
(iii)

e

✕

e

✕

e
(iv)

−

e

✕

e
(v)

3

✕

e

✕

e

Question 12

12.

p

3

q

3
=

(i)

-2

✕

p

✕

p

✕

p

✕

q

✕

q

✕

q
(ii)

4

✕

p

✕

p

✕

p

✕

q

✕

q

✕

q
(iii)

p

✕

p

✕

p

✕

q

✕

q

✕

q
(iv)

p

✕

p

✕

q

✕

q

✕

q
(v)

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

q

Question 13

13.

h

4

i

4

j

2
=

(i)

3

✕

h

✕

h

✕

h

✕

h

✕

i

✕

i

✕

i

✕

i

✕

j

✕

j

(ii)

−

h

✕

h

✕

h

✕

h

✕

i

✕

i

✕

i

✕

i

✕

j

✕

j

(iii)

h

✕

h

✕

h

✕

i

✕

i

✕

i

✕

i

✕

j

✕

j

(iv)

h

✕

h

✕

h

✕

h

✕

h

✕

i

✕

i

✕

i

✕

i

✕

j

✕

j

(v)

h

✕

h

✕

h

✕

h

✕

i

✕

i

✕

i

✕

i

✕

j

✕

j

Question 14

14.

22

✕

f

✕

f
=

(i)

19

f

2
(ii)

22

f

2
(iii)

22

f
(iv)

22

f

3
(v)

24

f

2

Question 15

15.

c

✕

c

✕

c

✕

c

✕

d

✕

d

✕

d
=

(i)

3

c

4

d

3
(ii)

c

3

d

3
(iii)

−

c

4

d

3
(iv)

c

5

d

3
(v)

c

4

d

3

Question 16

16.

e

✕

e

✕

e

✕

f

✕

f

✕

f

✕

g

✕

g

✕

g

✕

g
=

(i)

−

e

3

f

3

g

4
(ii)

e

4

f

3

g

4
(iii)

4

e

3

f

3

g

4
(iv)

e

2

f

3

g

4
(v)

e

3

f

3

g

4

Assignment Key