Factoring Review

Multiplying Polynomials

100

(x+2)(x+5)

x²+7x+10

200

(x-1)(x-4)

x² -5x + 4

300

(x+3y)(x-6y)

x² - 3xy - 18y²

400

(5a - 6b) (2a +9b)

10a² + 33ab -54b²

500

w(w-7v)(w-3v)

w³ - 10w²v +21wv²

Expand and Simplify

100

-2(4x-5)(7x-6)

-56x²+118x-60

200

2(x+7)(x-3) - (4x+3)(2X-1)

-6x² +6x - 39 

300

2a(3a +4b)(6a+7b)

36a³+90a²b +56ab²

400

(y+1)(y+8) + (y-8)(y+1)

2y² + 2y

500

-4(2x - 6)(4x - 5) + 3(11x+7)(11x - 4)

331x² +235x - 204 

Special Products

100

(x+4)²

x²+8x+16

200

(k-5)²

k² - 10k +25

300

(3y + 7x)²

9y² + 42xy +49x²

400

(q-11)(q+11)

q² -121 

500

(4m+3n)(4m-3n)

16m² - 9n²

Common Factors

100

Factor 6x +3 

3(2x +1) 

200

Factor 21c⁴d³ - 28c²d⁵ + 7cd³

7cd³(3c³ - 4cd² + 1)

300

Factor 5x⁵y³ + 7w⁵z²

Not Factorable

400

Factor 2x(x-3) -5(x - 3) 

(x-3)(2x-5)

500

Factor x³–4x²+x+6

(x−2)(x−3)(x+1) 

Quadratic Expressions

100

x² + 7x + 12

(x+3)(x+4)

200

x² - 29x +28

(x-1)(x-28)

300

bx² +10bx - 24

b(x+12)(x-2)

400

x⁴ + 9x² + 20

(x² +5)(x² +4)

500

x³ + 9x² +27x +27 

(x+3)³