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Worksheets

Polynomials and Complex Numbers

Total questions: 17

Worksheet time: 17mins

Name
Class
Date
1.

(4x + 3)(x + 2)

a)

x2 + 11x + 6

b)

4x2 + 8x + 6

c)

4x2 + 3x + 6

d)

4x2 + 11x + 6

2.

(3x + 1)(3x - 1)

a)

9x2 + 1

b)

9x2 - 1

c)

9x2 + 6x - 1

d)

9x2 - 6x - 1

3.

Multiply.

(2b+3)(3b2+2b+1)

a)

A

6b3 + 6b2 + 6b + 3

b)

B

6b3 + 13b2 + 8b + 3

c)

C

5b3 + 8b2 + 3b + 4

d)

D

5b3 + 6b2 + 3b + 4

4.

Find the product:
(2x+3)2

a)

2x+3+2x+3

b)

4x2+12x+9

c)

4x2+9

d)

16x2+9

5.

Find the product:
(5n-8)(5n+8)

a)

25n2-64

b)

10n2

c)

5n2+16

d)

16

6.

Simplify
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)

a)

4x3 + 1x2 – 3x + 1

b)

2x3 + 1x2 - 5x + 9

c)

6x3 + 1x - 1x2 - 3

d)

3x5 +1x - 1x5 - 3x

7.

What is the simplified form of (8 -3i)2?

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

8.

3i(4 - i)

a)

9i

b)

-3 +12i

c)

12 - 3i

d)

3 + 12i

9.

Simplify (11 + 5i)(11 - 5i)

a)

121 -110i

b)

121 + 110i

c)

146

d)

121 - 25i2

10.

Simplify i37

a)

1

b)

i

c)

-i

d)

-1

11.

Simplify i24

a)

i

b)

1

c)

-1

d)

-i

12.

Simplify √-4

a)

2i

b)

-2i

c)

2

d)

4i

13.

Simplify

−25\sqrt[]{-25}  

a)

5

b)

-5

c)

5i

d)

-5i

14.

Simplify √-28

a)

-√28

b)

-2i√7

c)

2i√7

d)

28i

15.

Simplify √-45

a)

3i√5

b)

-3i√5

c)

-i√45

d)

45i

16.

Simplify i43

a)

1

b)

i

c)

-i

d)

-1

17.
a)
10
b)
-10
c)
10i
d)
-10i