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Factoring Trinomials

100

x^2+5x+6

(x+2)(x+3) or (x+3)(x+2)

200

a^2+9a+8

(a+8)(a+1) or (a+1)(a+8)

300

2x^2+6x+4

2(x+2)(x+1)

400

x^3+2x^2+x

x(x+1)(x+1)

500

4x^3-8x^2-192x

4x(x-8)(x+6)

Factoring Harder

100

2x^2+7x+6

(2x+3)(x+2)

200

4b^2+5b-6

(4b-3)(b+2)

300

10w^2+4w-6

2(w+5)(5w-3)

400

40k^3+40k^2-30k

10k(2k+3)(2k-1)

500

2w^5+10w^3+12w

2w(w^2+2)(w^2+3)

Factoring Binomials

100

Factor if possible

x^2-9

(x+3)(x-3)

200

4a^2-25

(2a+5)(2a-5)

300

2w^2-32

2(w+4)(w-4)

400

10-250x^12

10(1-5x^6)(1+5x^6)

500

9x^3y^5 - xyz^2

xy(3xy^2+z)(3xy^2-z)

GCF and Factoring GCF

100

What is the gcf of 

60, 90, and 105

15

200

What is the gcf of 

6x^3, 10x^2, and 20x

2x

300

Factor the following

28b^3+84b^2-70b

14b(2b^2+6b-5)

400

What is the gcf of

25abcd^3, 40ab^2, 120a^4 

5a

500

Factor the following

12x^4+16x^3+4x^2

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

Random

100

What is the prime factorization of 48

2,2,2,2,3

200

Factor the following 

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

(x+5)(2x-3)  or (2x-3)(x+5)

300

Factor by grouping 

2x^4+6x^3-x-3

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

400

Completely Factor the following

b^4 - 1

(b^2+1)(b-1)(b+1)

500

Factor the following by grouping 

x^2+2x^3+3+6x

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