Alg 2 Chapter 4 Review

Factoring trinomials

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: 

x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: 

x² - 5x + 6

(x-3)(x-2)

400

Factor 

2x² - x - 6

(x-2)(2x+3)

500

Factor: 

6x² + 7x + 2

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

Solve

100

Solve:

(2x - 3)(x - 2)= 0

What is x = 3/2 and 2?

200

Solve:

3x(5x - 2)(3x + 4) = 0

What is x = 0, 2/5 and -4/3?

300

Solve:

x² - 8x - 20 = 0

What is x = -2 and 10?

400

Solve:

3x² - 10x = 8

What is x = 4 and -2/3?

500

Solve:

2x³ + 6x² - 80x = 0

What is x = 0, 5 and -8?

Polynomials

100

Identify using the degree and number of terms:

5x^4-3x^2

What is a quartic binomial?

200

Add:

(5x³ + 2x² - 3x + 1) + (-7x³ + 4x² - 8x - 7)

What is -2x³ + 6x² - 11x - 6?

300

Subtract: 

(2x³ - 5x² + 6) - (4x³ + 3x² - 9x - 1)

What is -2x³ - 8x² + 9x + 7?

400

Multiply:

(2x + 3)(4x² - 5x + 1)

What is 8x³ + 2x² - 13x + 3?

500

Multiply:

(3x - 2)³

What is 27x³ - 54x² + 36x - 8?

Factor completely

100

Factor completely: 

a²b² - 144a²

a²(b+12)(b-12)

200

Factor completely: 

x⁴ - 625

(x+5)(x-5)(x²+25)

300

Factor completely: 

y⁴ - 81

(y² + 9)(y + 3)(y - 3)

400

Factor completely: 

2x³ + 14x² - 60x

2x(x+10)(x-3)

500

Factor completely: 

5x² - 80

5(x + 4)(x - 4)

Factoring binomials

100

Factor: x² - 16

(x+4)(x-4)

200

Factor: 64x² - 9

What is (8x + 3)(8x - 3)?

300

25y² - 4k²

(5y+2k)(5y-2k)

400

Factor:

x³ - 64

(x - 4)(x² + 4x + 16)

500

Factor:

8x³ + 125

(2x + 5)(4x² - 10x + 25)