EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

a)

Every polynomial is a binomial

b)

Degree of zero polynomial is zero

c)

A binomial may have degree 3

d)

π
r

2
is a monomial

e)

A binomial has two and only two terms

(i)

{a,c}
(ii)

{a,c,d}
(iii)

{a,b,e}
(iv)

{b,d}
(v)

{c,d,e}

Question 2

2.

Which of the following are polynomials?

a)

x

2

+

1

x

2

b)

x

+

1

x

c)

(

x

+

y

)

(

x

−

y

)

d)

(

x

+

y

)

e)

x

2

(i)

{b,e}
(ii)

{c,a,d}
(iii)

{a,d}
(iv)

{d,e}
(v)

{b,e,d}

Question 3

3.

Which of the following are not polynomials?

a)

64

x

2

b)

(

12

x

+

9

y

)

c)

x

+

1

x

d)

(

36

x

2

−

9

x

y

−

27

y

2

)

e)

(

12

x

+

9

y

)

(

3

x

−

3

y

)

(i)

{d,a,c}
(ii)

{b,e,c}
(iii)

{b,e}
(iv)

{c,e}
(v)

{a,c}

Question 4

4.

Which of the following are not polynomials?

a)

25

x

2

+

1

25

x

2

b)

(

11

x

−

12

y

)

c)

25

x

2

d)

(

3

x

+

7

y

)

e)

√x

(i)

{c,e}
(ii)

{b,a}
(iii)

{a,e}
(iv)

{c,e,a}
(v)

{d,b,a}

Question 5

5.

Which of the following are not polynomials?

a)

(

90

x

2

−

44

x

y

−

6

y

2

)

b)

x

2

c)

(

10

x

−

6

y

)

d)

√x

e)

(

9

x

+

y

)

(

10

x

−

6

y

)

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{b,e}
(iv)

{d,e}
(v)

{b,e,d}

Question 6

6.

Which of the following is a factor of
12

x

5

y

5

z

2
?

(i)

3

x

5

y

6

z
(ii)

3

x

5

y

5

z

3
(iii)

3

x

5

y

5

z
(iv)

x

6

y

5

z

Question 7

7.

Which of the following is not a factor of
50

x

3

y

2

z
?

(i)

5

x

2

y

2

z
(ii)

5

x

4

y

3

z
(iii)

5

x

3

y

z
(iv)

5

x

3

y

2
(v)

5

x

y

Question 8

8.

Which of the following is a factor of
(

3

x

2

+

y

5

z

3

)
?

(i)

3

x

2
(ii)

y

5

z

3
(iii)

no factors
(iv)

y

2
(v)

x

z

3

Question 9

9.

Which of the following is an irreducible factor of
50

x

3

y

z

4
?

(i)

x

2

y
(ii)

y

2

z
(iii)

x

2

y

2

z

4
(iv)

z
(v)

x

z

4

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.

f

3
=

(i)

f

✕

f
(ii)

-2

✕

f

✕

f

✕

f
(iii)

f

✕

f

✕

f

✕

f
(iv)

3

✕

f

✕

f

✕

f
(v)

f

✕

f

✕

f

Question 12

12.

m

2

n

2
=

(i)

m

✕

n

✕

n
(ii)

3

✕

m

✕

m

✕

n

✕

n
(iii)

m

✕

m

✕

n

✕

n
(iv)

-2

✕

m

✕

m

✕

n

✕

n
(v)

m

✕

m

✕

m

✕

n

✕

n

Question 13

13.

29

p

4

q

2

r

2
=

(i)

27

✕

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

r

✕

r
(ii)

29

✕

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

r

✕

r
(iii)

31

✕

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

r

✕

r
(iv)

29

✕

p

✕

p

✕

p

✕

q

✕

q

✕

r

✕

r

(v)

29

✕

p

✕

p

✕

p

✕

p

✕

p

✕

q

✕

q

✕

r

✕

r

Question 14

14.

g

✕

g

✕

g

✕

g
=

(i)

g

4
(ii)

g

3
(iii)

g

5
(iv)

−

2

g

4
(v)

4

g

4

Question 15

15.

19

✕

c

✕

c

✕

c

✕

d

✕

d
=

(i)

17

c

3

d

2
(ii)

19

c

2

d

2
(iii)

19

c

3

d

2
(iv)

22

c

3

d

2
(v)

19

c

4

d

2

Question 16

16.

20

✕

g

✕

g

✕

h

✕

h

✕

h

✕

i

✕

i

✕

i
=

(i)

20

g

3

h

3

i

3
(ii)

17

g

2

h

3

i

3
(iii)

22

g

2

h

3

i

3
(iv)

20

g

h

3

i

3
(v)

20

g

2

h

3

i

3

Assignment Key