Ch. 7 Polynomials Review

Multiplying Polynomials

100

Multiply the Polynomials:

3x(2x - 5)

6x² - 15x

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 3)²

4m² - 12m + 9

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² - 11d + 3

Common Factors/ Special Products

100

Factor out the Greatest Common Factor (GCF):

5a³ + 2a²

a²(5a + 2)

200

Factor out the Greatest Common Factor (GCF):

30x² - 42x

6x(5x - 7)

300

Factor:

x² - 81

(x + 9)(x - 9)

400

Factor:

p² - 100

(p + 10)(p - 10)

500

Factor out the Greatest Common Factor (GCF):

18n⁴ + 42n² + 6n

6n(3n³ + 7n + 1)

Factoring

100

Factor:

p² + 12p + 35

(p + 5)(p + 7)

200

Factor:

z² - 4z - 21

(z + 3)(z - 7)

300

Factor:

3x² - 7x - 10

(3x - 10)(x + 1)

400

Factor:

5y² - 22y + 8

(5y - 2)(y - 4)

500

Factor:

6x² + 5x - 4

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

Solve by Factoring

100

Solve by factoring:

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

x = -3, x = 1

200

Solve by factoring:

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

x = -3/2, x = 5

300

Solve by factoring:

x² - x - 20 = 0

x = -4, x = 5

400

Solve by factoring:

x² - 3x - 4 = 0

x = 4, x = -1

500

Solve by factoring:

5x² - x - 4 = 0

x = -4/5, x = 1

Factor by Grouping

100

Factor by grouping: 

x³ - 2x² + x - 2

(x² + 1)(x - 2)

200

Factor by grouping: 

n³ - 8n² + 7n - 56

(n² + 7)(n - 8)

300

Factor by grouping: 

2x³ - 12x² - 7x + 42

(2x² - 7)(x - 6)

400

Factor by grouping: 

8m³ + 4m² - 6m - 3

(4m² - 3)(2m + 1)

500

Factor by grouping: 

12x³ - 9x² + 32x - 24

(3x² + 8)(4x - 3)