Factoring: Algebra I Quiz 7-3

Greatest Common Factor

100

8a - 16

8(a - 2)

200

3x² + 14

Prime

300

25x² - 125xy

25x (x - 5y)

400

9x² - 45x + 9

9(x² - 5x + 1)

500

36x² - 9

9(2x + 1)(2x - 1)

Difference of Squares

100

x² - 25

(x - 5)(x + 5)

200

16x² - y²

(4x - y)(4x + y)

300

3x² - 27

3(x - 3)(x + 3)

400

64x² - 36

4(4x + 3)(4x - 3)

500

10x⁴ - 810

10(x² + 9)(x + 3)(x - 3)

Trinomials(a=1)

100

x² + 8x + 12 

(x + 2)(x + 6)

200

x² - 10x - 24 

(x - 12)(x + 2)

300

x² - 14x - 72

(x - 18)(x + 4)

400

3x² - 15x + 12

3(x - 4)(x - 1)

500

3x³ + 30x² + 63x

3x(x + 7)(x + 3)

Trinomials(a>1)

100

6x² -5x -4

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

200

2x² +11x +12

(2x+3)(x+4)

300

3x² +16x -12

(x+6)(3x-2)

400

5x² -21x +18

(x-3)(5x-6)

500

12x² +72x +33

3(2x+11)(2x+1)

Polynomials (Grouping)

100

x³ - x² - 3x + 3

(x² - 3)(x - 1)

200

x³ + 2x² - 5x - 10

(x² - 5)(x + 2)

300

16x³ + 8x² - 6x - 3

(8x² - 3)(2x + 1)

400

12x² + 28xy + 3x + 7y

(3x + 7y)(4x + 1)

500

4x³ - 28x² - 9x + 63

(2x + 3)(2x - 3)(x - 7)

Other Classes

100

Define: astute

having or showing shrewdness and an ability to notice and understand things clearly : mentally sharp or clever

200

What is the gelatinous liquid that fills the inside of a cell. It is composed of water, salts, and various organic molecules.

Cytoplasm

300

What are the seven corporal works of mercy?

1. Feed the hungry 2. Give drink to the thirsty 3. Clothe the naked 4. Shelter the homeless 5. Visit the imprisoned 6. Visit the sick 7. Bury the dead

400

Where did the British surrender to their former colonies, thus signifying the end of the Revolution?

Yorktown

500

Scott Joplin was the leader of the ________ musical movement that was popular and uniquely American at the start of the 1900s.

Ragtime