REVIEW ON FACTORING

Factoring trinomials when a=1

100

x² + 10x + 25

(x+5)(x+5)

200

x² - 12x + 27

(x-9)(x-3)

300

x² + 2x - 24

(x+6)(x-4)

400

x² - 5x + 6

(x-3)(x-2)

500

y⁴ - 7y² - 18

(y² - 9)(y^{2 +} 2)

Factoring trinomials when a>1

100

2x² - 7x + 6

(2x - 3)(x - 2)

200

9x² + 6x + 1

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

300

2x² - x - 6

(x-2)(2x+3)

400

4y² + 12y + 9

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

500

ax² - bx + ax - b

(x+1)(ax-b)

Factor using the GCF

100

3x² - 12x

3x(x - 4)

200

x¹¹ - 2x⁴

x⁴(x⁷ - 2)

300

5y² + 2y

y(5y + 2)

400

4ab² - 12a²b

4ab(b - 3a)

500

6x³ - 3x² + 12x

3x(2x² - x + 4)

Mixed Problems

100

a² - 36

(a+6)(a-6)

200

x² + 6x - 16

(x+8)(x-2)

300

y⁴ - 49

(y² + 7)(y² - 7)

400

2x² + 7x - 4

(2x-1)(x+4)

500

16x³y² + 4x²

4x²(4xy² + 1)

Factoring the difference of two perfect squares

100

x² - 16

(x+4)(x-4)

200

9 - x²

(3+x)(3-x)

300

x⁴ - 100

(x² + 10)(x² - 10)

400

25y² - 4k²

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

500

x² + 16

Cannot be factored