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MATH 8 Q1 FACTORING POLYNOMIALS

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

What is the square of 15?

a)

15

b)

30

c)

60

d)

225

2.

What is the square of x2 ?

a)

x2

b)

2x2

c)

x / 2

d)

x4

3.

 (-3x2) is equal to ______________.

a)

-3x2

b)

-9x2

c)

3x2

d)

9x2

4.

What is (4x)2 equal to?

a)

4x2

b)

6x2

c)

8x2

d)

16x2

5.

Multiply: 2(x - 5).

a)

2x + 5

b)

2x - 5

c)

2x - 10

d)

x - 10

6.

What is the sum of 36y and –12y?

a)

-48y

b)

-24y

c)

24y

d)

24y2

7.

What is the product of -2(x + 4y - 2) ?

a)

-2x - 8y + 4

b)

-2x + 8y - 4

c)

2x - 8y + 4

d)

2x + 8y - 4

8.

Multiply: x(2x + 1).

a)

2x2 + x

b)

x2 + x

c)

2x2 + 1

d)

x + 2x

9.

Find the product of (x + 1)(x + 2).

a)

x2 + 2

b)

x2 + 2x + 2

c)

x2 + 3x + 2

d)

x2 + 3x + 1

10.

What is the square of (x + 3)?

a)

x2 + 9

b)

x2 + 3x + 9

c)

x2 + 6x + 9

d)

x2 + 3x

11.

Fill in the blank: 2(x - 5)2 = __________

a)

2x2 + 50

b)

2x2 + 20x + 50

c)

2x2 - 20x + 50

d)

x2 - 50

12.

Fill in the blank: (x + 7)(x - 7) = ________

a)

x2 + 49

b)

x2 + 14x + 49

c)

x2 - 14x + 49

d)

x2 - 49

13.

Fill in the blank: (3x + 4)(3x - 4) = __________

a)

9x2 + 16

b)

9x2 + 24x + 16

c)

9x2 - 24x - 16

d)

9x2 - 16

14.

Which binomial has a product of x2 - 100 ?

a)

(x + 10)(x + 10)

b)

(x - 10)(x - 10)

c)

(x + 10)(x - 10)

d)

(x - 10)2

15.

Which binomial has a product of x2 + 6x + 9 ?

a)

(x + 3)(x + 2)

b)

(x + 3)(x + 3)

c)

(x + 3)(x - 3)

d)

(x + 9)2

16.

What are the factors of –7?


I. 7 and –1

II. –7 and 1

III. 7 and 1

IV. –7 and –1

a)

I only

b)

II only

c)

I and II

d)

III and IV

17.

Which set of factors has a product of x2 + 18x + 81 ?

a)

(x + 9)2

b)

(x - 9)2

c)

(x + 9)(x - 9)

d)

(x + 81)2

18.

What are the factors of x2 + 8x + 15 ?

a)

(x + 3)(x + 5)

b)

(x - 3)(x - 5)

c)

(x + 3)(x - 5)

d)

(x - 3)(x + 5)

19.

If x2 - 3x - 18 = (x + 3)(________), then what is the missing factor?

a)

x - 6

b)

x + 6

c)

x + 9

d)

x - 9

20.

Factor: 4x2 - 20xy + 25y2

a)

(2x - 25y)2

b)

(2x - 5y)2

c)

(2x - 5y)(2x + 5y)

d)

(2x + 5y)2

21.

Which set of binomials has a product of 6x2 - 5x - 6 ?

a)

(2x - 3)(3x + 2)

b)

(2x + 3)(3x - 2)

c)

(2x - 3)(3x - 2)

d)

(3x - 1)(2x + 6)

22.

What are the factors of 2x2 + x - 3 ?

a)

(2x - 3)(x + 1)

b)

(2x + 3)(x + 1)

c)

(2x + 3)(x - 1)

d)

(2x - 3)(x - 1)

23.

What must be multiplied to (x – 3) to get the product of x3 - 27 ?

a)

x2 + 3x + 9

b)

x2 + 6x + 9

c)

x2 - 3x + 9

d)

x2 - 6x + 9

24.

What is the area of a rectangle whose length is (y + 4) cm and whose width is (y – 4) cm?

a)

(y2 + 4) cm2

b)

(y2 + 16) cm2

c)

(y2 - 4) cm2

d)

(y2 - 16) cm2

25.

Find the volume of a cube whose edge measures (3x – 2) ft.

a)

(27x3 + 54x2 + 36x + 8) ft3

b)

(27x3 + 54x2 - 36x + 8) ft3

c)

(27x3 - 54x2 + 36x - 8) ft3

d)

(27x3 - 54x2 - 36x - 8) ft3