Advanced Factoring Review

Binomials

100

x² + 4

already factored 

200

4x² - y²

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

300

20m⁷n¹⁹ - 140m⁵n¹³r⁸

20m⁵n¹³(m²n⁶ - 7r⁸)

400

16x⁵ - xy⁴

x(4x² + y²)(2x - y)(2x + y) 

500

64a⁶ + 27b³

(4a² + 3b)(16a⁴ - 12a²b +9b²)

Trinomials #1

100

x² - 5x - 6

(x - 6)( x + 1)

200

3x² + 7x + 2

(3x + 1)(x + 2) 

300

8x² + 10x + 3

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

400

3y⁶ + 7y³ - 6

(3y³ - 2)(y³ + 3)

500

(4x²-3x)² - 8(4x²-3x) + 7

(4x - 7)(x + 1)(4x + 1)(x - 1)

Trinomials #2

100

x² + 4x + 4

(x+2)²

200

-2x² + 7x + 4

- (2x + 1)(x - 4)

300

8x²z² - 4xz² - 12z²

4z²(2x - 3)(x + 1)

400

(x² - 3x)² - 2(x² - 3x) - 8

(x - 4)(x + 1)(x - 2)(x - 1)

500

2x⁵ - 36x - 14x³

2x(x² + 2)(x - 3)(x + 3) 

Mix

100

x² + 9x³

x²(1 + 9x)

200

x³ - 2x² - 16x + 32

(x - 2)(x - 4)(x + 4)

300

2t⁶ - 5t⁵ + 8t² - 20t

t(t⁴ + 4)(2t - 5)

400

6a²d + 8a²c - 15b²d - 20b²c

(2a² - 5b²)(3d + 4c)

500

81 - x¹²

(9 + x⁶)(3 + x³)(3 - x³)

Animal Trivia

100

What animal lays the largest egg?

Ostrich

200

What is the only mammal capable of true flight?

Bat

300

What animal has three hearts?

octopus 

400

What bird can fly backwards?

hummingbird

500

What land mammal can hold its breath underwater for up to 40 minutes, outlasting a dolphin?

sloth