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Math 8 Activity: Factoring Polynomials

Total questions: 10

Worksheet time: 4mins

Name
Class
Date
1.

What is the reverse process of getting the product of any number or algebraic expression?

a)

Multiplying

b)

Factoring

c)

Rationalizing

d)

Extracting Roots

2.

It is a symbol that represents an UNKNOWN VALUE.

a)

Monomial

b)

Polynomial

c)

Variable

d)

Factor

3.

It is a symbol or number with fixed value.

a)

Factor

b)

Variable

c)

Constant

d)

Degree

4.

Find the greatest common factor (GCF) of 4a³, 8a², 12a.

a)

2a

b)

4a

c)

8a

d)

12a

5.

Find the factor of: 6x² + 3xy.

a)

4ab (6x + 5)

b)

3xy (5x – 2)

c)

5x (3x + 4)

d)

3x (2x + y)

6.

What is the factored form of 4b² - 25?

a)

(2b + 5)(2b - 5)

b)

(2b + 5)(2b + 5)

c)

(2b - 5)(2b - 5)

d)

(b + 5)(b - 5)

7.

What is the factored form of 8b³ + 216?

a)

(2b - 6)(4b² - 12b + 36)

b)

(2b + 6)(4b² - 12b + 36)

c)

(2b + 6)(4b² + 12b + 36)

d)

(2b + 6)(4b² - 12b - 36)

8.

What are the factors of m3 – n3?

a)

(m - n)(m2 - mn - n2)

b)

(m - n)(m2 + mn + n2)

c)

(m - n)(m + mn + n2)

d)

(m - n)(m2 - mn + n2)

9.

What expression should be placed in the blank to make

8x3 + y3 = (____ + y)(4x2 – 2xy + y2)?

a)

x

b)

2x

c)

3x

d)

4x

10.

If the area of the base of a box is (d2 – 10d + 100) square cm and its volume is (d3 + 1000) cm3, how high is the box?

a)

(d + 5)

b)

(d + 8)

c)

(d + 10)

d)

(d + 12)