REVIEW ON FACTORING - Copy

Factoring trinomials when a=1

100

Factor: 

x²+10x+25

(x+5)(x+5)

200

Factor: 

x² - 12x + 27

(x - 9)(x - 3)

300

Factor: 

x² + 2x - 24

(x+6)(x-4)

400

Factor: 

x² - 5x + 6

(x-3)(x-2)

500

Factor completely: 

5y² + 35y - 90

5(y + 9)(y - 2)

Factoring trinomials when a>1

100

Factor 

2x² - 7x + 6

(2x - 3)(x - 2)

200

Factor 

12x² + 19x + 5

(4x+5)(3x+1)

300

Factor 

2x² - x - 6

(x-2)(2x+3)

400

Factor 

4y² + 12y + 9

(2y+3)(2y+3)

500

Factor: 

6x² + 7x + 2

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

GCF and Binomials

100

Factor 3x²-12x

3x(x-4)

200

Factor:

9x² - 6x

3x(3x - 2)

300

Factor: 

x² - 25

(x + 5)(x - 5)

400

Factor completely:

5x² - 20

5(x + 2)(x - 2)

500

Factor completely:

4x² + 4x - 48

4(x - 3)(x + 4)

Factor and Solve

100

Factor and solve:

4x² + 8x = 0

4x(x + 2) = 0

x = 0 and x = -2

200

Factor and solve:

x² - 81 = 0

(x + 9)(x - 9) = 0

x = -9 and x = 9 

300

Factor and solve.

x² - 8x + 15 = 0

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

x = 3 and x = 5

400

Factor and solve.

x² + 10x - 24 = 0

(x + 12)(x - 2) = 0

x = -12 and x = 2

500

Factor and solve.

3x² - 18x - 48 = 0

3(x + 2)(x - 8) = 0

x = -2 and x = 8

Polynomial Operations

100

Add:

(3x² + 2x - 4) + (5x² - 9x - 7)

8x² - 7x - 11

200

Subtract:

(3x² + 2x - 4) - (5x² - 9x - 7)

-2x² + 11x + 3

300

Multiply:

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

15x² - 14x - 8

400

Multiply:

(3x - 2)²

9x² - 12x + 4

500

Multiply:

(x + 5)(3x² - 2x + 7)

3x³ + 13x² - 3x + 35