Algebra 2 Chapter 4

Factoring

100

Factor 6x - 9x²

3x(2 - 3x)

200

Factor x² - 100

(x + 10)(x - 10)

300

Factor x² + 4x + 3

(x+3)(x+1)

400

4x³ - 14x² - 8x

Factor completely.

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

Zero Product Property

100

What is x?

(x - 1)(x + 5) = 0 

-5 or 1

200

What is x?

(3x - 2) (5x + 1) = 0

2/3 or -1/5

300

What is x?

x² - 6x + 8 = 0

x = 2 or 4

400

What is x?

x² + 10x = 0

x = -10 or 0

Rat. the Den.

100

3 OVER sqrt 2

3 sqrt 2 OVER 2

200

5 OVER i

-5i

300

3 OVER (7 + SQRT 5)

(21 - 3 sqrt5) OVER 44

400

(1 + SQRT 10) OVER (2 - SQRT 3)

2 + sqrt 3 + 2 sqrt 10 + sqrt 30

Simplify the radical

100

Simplify SQRT 44

2 SQRT 11

200

Simplify (3 SQRT 2) times (4 SQRT 2)

24

300

Simplify (6 SQRT 2) TIMES (2 SQRT 6)

24 SQRT 3

400

(2 SQRT 50) OVER (SQRT 16) 

5 sqrt 2 OVER 2

CTS / QF

100

What is x?

x² - 10x = 5 

+/- SQRT 30 + 5

200

x² + 2x = -5

-2 +/- i

300

What is x?

-¹/₂ x² + 4x = 1 

⁺_- SQRT 14 + 4

400

Write the vertex form of y = -2x² + 8x - 3 

y = -2(x - 2)² + 5