FACTORING

7.4-GCF

100

Factor by GCF 14n²+10n

2n(7n+5)

200

Factor by GCF 18x³-6x

6x(3x²-1)

300

Factor by GCF 8b - 4a²b³

4b(2 - a²b²)

400

Factor by GCF -4x⁴+16x³-8x²

-4x²(x²-4x+2)

500

Factor by GCF 10a³b⁴c⁴ - 6a²b⁶c⁴

2a²b⁴c⁴(5a - 3b²)

7.5/7.6-Trinomials

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor 3m²-33m+54

3(m-9)(m-2)

300

Factor 5n²+26n+5

(5n+1)(n+5)

400

Factor 3x²+7x+4

(3x+4)(x+1)

500

The volume of a rectangular prism is 12x²+2x-4. Find the length, width and height. 

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

7.6-Factor by Grouping

100

6v³-16v²+21v-56

(2v²+7)(3v-8)

200

4v³-12v²-5v+15

(4v²-5)(v-3)

300

m³-m²+2m-2

(m²+2)(m-1)

400

x⁴+x³+5x+5

(x³+5)(x+1)

500

10x³+5x²y-2x-y

(5x²-1)(2x+y)

7.7-Special Cases

100

x² - 4

(x - 2)(x+2)

200

x⁴+10x²+25

(x² + 5)(x² + 5)

300

The area of a square is x²-18x+81. What is the square's side length? 

(x - 9)

400

Factor 49-x²y²

(7+xy)(7-xy)

500

16x⁴-256

16(x+2)(x-2)(x²+4)

Trivia

100

What is the strongest muscle in the human body?

masseter muscle - the jaw!

200

How many volts of energy can electric eels produce? 

Around 800 volts.

300

What is rapper Eminem’s real name? 

Marshall Mathers

400

What metal is most abundant in the center of the earth? 

Iron! 

500

Where were french fries invented? 

Belgium. (Surprisingly, not France!)