Algebra Unit 5 Review

Prime Factorization

100

18

2*3²

200

56

2³ * 7

300

144

2⁴ * 3²

400

360

2³ * 3² * 5

500

1260

2² * 3² * 5 * 7

Dividing monomials

100

x⁵ / x²

x³

200

a⁶b⁴ / a²b²

a⁴b²

300

5x⁵ /x⁷

5 / x²

400

3x³y^-2 / (3x³y^-2)²

y² / 3x³

500

4(a³b^-1)^-1 / (4a^-1b³)²

1 / 4ab⁵

Multiplying Binomials and Trinomials

100

(x+3)(x-5)

x² - 2x - 15

200

(2x - 4)(x + 1)

2x² - 2x - 4

300

(x+2)(x² - 3x + 4)

x³ + x² - 2x + 8

400

(x - 5)(x² + 4x + 3)

x³ - x² - 17x - 15

500

(3x + 2)(x² - x - 1)

3x³ - x² - 5x - 2

Names of factors and factoring

100

x² - 16

(x - 4)(x + 4)

Difference of Squares

200

x² + 10x + 25

(x + 5)²

Perfect squares

300

6x² + 5x - 6

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

When A > 1

400

3x²y - 12xy² + 6xy

3xy(x - 4y + 2)

Simple Factoring

500

4x² + 20x + 25

(2x + 5)²

Perfect Square

Solving for the variable

100

x² = 16

x = 4 and x = -4

200

x² - 5x + 6 = 0

x = 2 and x = 3

300

2x² + 8x = 0

x = 0 and x = -4

400

x³+ 6x² + 9x = 0

x = 0 and x = -3

500

4x² - 12x + 9 = 0

x = 2/3