Identify the Strategy
Binomials
Trinomials
Polynomials
AC Method
100

Which factoring strategy would be best to factor 8x2+24x?

Greatest Common Factor (GCF)

100

Factor the following binomial completely:

14x2+21x

7x(2x+3)

100

Factor the following trinomial completely:

x2+11x+18

(x+9)(x+2)

100

Factor the following polynomial completely:

2x3+5x2+6x+15

(x2+3)(2x+5)

100

Factor completely:

5y2 + 8y +3

(y+1)(5y+3)

200

Which factoring strategy would be best to factor x2-16?

Difference of Two Squares (DTS)

200

Factor the following binomial completely:

4x2-25

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

200

Factor the following trinomial completely:

x2+15x-34

(x+17)(x-2)

200

Factor the following polynomial completely:

3x3-4x2+9x-12

(x2+3)(3x-4)

200

Factor completely:

3p2-11p+6

(p-3)(3p-2)

300

Which factoring strategy would be best to factor 2x2+11x+32?

A/C Method

300

Factor the following binomial completely:

9x2-100

(3w-10)(3w + 10)

300

Factor the following trinomial completely:

3x2-8x+4

(3x-2)(x-2)

300

Factor the following polynomial completely:

12x3+4x2+3x+1

(4x2+1)(3x+1)

300

Factor completely:

2v2 + 11v + 12

(v + 4)(2v + 3)

400

Which factoring strategy would be best to factor 3x3+17x2-9x-51?

Grouping

400

Factor the following binomial completely:

121q- 64

(11q + 8)(11q - 8)

400

Factor the following trinomial completely:

5x2-18x+9

(5x-3)(x-3)

400

Factor the following polynomial completely:

12xy-28x-15y+35

(4x-5)(3y-7)

400

Factor completely:

3q2 - 10q + 7

(3q - 7)(q - 1)

500

Which factoring strategy would be best to factor    64x^2-36 ?

Difference of Two Squares

500

Factor the following binomial completely:

2x3-8x

2x(x+2)(x-2)

500

Factor the following trinomial completely:

15x2-27x-6

3(x-2)(5x+1)

500

Factor the following polynomial completely:

40xy+30x-100y-75

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

500

Factor completely:

12q2 - 52q + 56

4(3q - 7)(q - 2)

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