Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Polynomials Mixed Practice (Week 1)

Total questions: 18

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

Simplify

(3w - 7w3 - 11) + (6w2 + 8 - 2w)

a)

-7w3 + 6w2 + w - 3

b)

-7w6 + 6w4 + w2 - 3

c)

-7w3 + 6w2 + w + 3

d)

-7w3 - 6w2 + w - 19

2.

Add the two polynomials

(x2 – 3x + 1) + (2x – 4x2)

a)

-3x2- x+1

b)

-3x2 -2x + 4

c)

3x2 -7x + 1

d)

3x2 -5x + 1

3.

Subtract the polynomials

(x2 – 3x + 1) – (2x – 4x2)

a)

-3x2 - x + 1

b)

5x2 - x + 1

c)

5x2 - 5x + 1

d)

-3x2 - 5x + 1

4.

Multiply

(x + 1) (x2 + 4x + 2)

a)

x3 + 5x2 + 6x + 2

b)

x3 + 4x2 + 8x + 2

c)

x3 + 5x2 + 8x + 2

d)

x3 + 4x2 + 6x + 2

5.
Simplify
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
a)
4x2 - 6x3 - 2x + 6
b)
3x + 5x2 + 1
c)
6x3 - 4x2 + 6x + 16
d)
3x + 2
6.
Simplify
(2x + 3)(x2 + 4x + 1)
a)
2x3 + 10x2 + 14x + 4 
b)
2x3 + 11x2 + 14x + 3 
c)
-2x3 - 11x2 + 14x + 5 
d)
x3 - 11x2 + 14x + 3 
7.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
8.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
9.

Find the area of the rectangle with length ( x - 5) and width of ( 3x + 1)

Hint- A=l ⋅\cdot  w

a)

3x2 - 5

b)

3x2-16x -5

c)

3x2 -14x -5

d)

3x2 + x

10.
Multiply the following together:
(3x - 2)(6x + 1)
a)
18x2 - 2
b)
9x2 -9x -2
c)
18x2 -9x -2
d)
3x2 -12x
11.

Multiply

(2x + 3)(x2 + 4x + 1)

a)

2x3 + 8x2 +2x

b)

3x2 + 12x +3

c)

2x3 +11x2 +14x +3

d)

2x3 + 12x +3

12.

Find the perimeter of the rectangle with length ( x - 5) and width ( 3x + 1)


Hint- P=2l+2w

a)

3x2 -14x -5

b)

3x2 -5

c)

8x -8

d)

x2 -15x -5

13.

Which expression is equivalent to

(3x5 + 8x3) - (7x2 - 6x3)

a)

-4x3 + 14

b)

-4x5 + 14x3

c)

3x5 + 14x3 -7x2

d)

3x5 + 2x3 - 7x2

14.

Find the product

(3x + 2)(2x + 4)

a)

6x2 + 16x + 8

b)

5x2 +11x + 6

c)

5x2 + 16x + 6

d)

6x2 + 11x + 8

15.

Find the product

(n - 5)(n - 1)

a)

n2 - 5n + 5

b)

n2 - 6n + 5

c)

n2 + 5

d)

n2 + 6n + 5

16.

Find the product

(x + 12)(x - 12)

a)

x2 - 144

b)

x2 + 144

c)

x2 + 12x - 144

d)

x2 - 12x + 144

17.

Multiply

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n2 + 2

c)

12n2 + 12n + 2

d)

12n2 + 14n + 2

18.

Multiply

(4a + 2)(6a2 − a + 2)

a)

24a3 + 16a2 + 6a + 4

b)

24a3 + 8a2 + 10a + 4

c)

24a3 + 8a2 + 6a + 4

d)

24a3 - 8a2 - 6a + 4