Factoring Polynomials

Factoring By GCF

100

By GCF Method, factor 

2x² + 10x - 16

2(x² + 5x - 8)

200

By GCF Method, factor

 12x² + 8x - 20

–4(3x² – 2x + 5)

300

By GCF Method, factor 

5x³ + 2x² + x

x(5x² + 2x + 1)

400

By GCF Method, factor 

2x⁴ - 16x³ + 4x

2x(x³ - 8x² + 2)

500

By GCF Method, factor 

8x²y −12x³y²

4x²y(2 - 3xy)

Factoring (x^2 + bx + c)

100

Factor the trinomial: 

x² + 13x + 12

(x+12)(x+1)

200

Factor the trinomial: 

x² − 13x + 36

(x-9)(x-4)

300

Factor the trinomial: 

x² + 4x − 45

(x+9)(x-5)

400

Factor the trinomial: 

x² − 16x + 48

(x-12)(x-4)

500

Factor the trinomial: 

2x² + 2x − 4

2(x+2)(x-1)

Factoring (ax^2 + bx + c)

100

Factor the trinomial: 

6x² + 17x + 5

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

200

Factor the trinomial completely: 

3x² + 13x +4

(3x+1)(x+4)

300

Factor the trinomial: 

6x² + 11x + 3

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

400

Factor the trinomial: 

6x² + 7x - 3

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

500

Factor the trinomial: 

3x² - 2x - 8

(3x + 4)(x - 2)

Factoring Special Products

100

Factor the special trinomial: 

x² + 10x + 25

(x+5)²

200

Factor the special trinomial: 

9x² + 6x + 1

(3x+1)²

300

Factor this special binomial: 

x² - 16

(x-4)(x+4)

400

Is this binomial factorable? If so do it, if not write "prime": 1 - 4x²

(1 + 2x)(1 - 2x)

500

Factor this special trinomial: 4x² + 20x + 25

(2x+5)²

Choosing a Factoring Method/Miscellanious

100

Is this factored completely: 3x²(x² + 9). Why or why not?

Yes, there are no more common factors between x² and 9.

200

Factor completely: 

2x²+6x-56

2(x-4)(x+7)

300

Factor completely: 

2p⁵ + 10p⁴ - 12p³

2p³(p - 1)(p + 6)

400

Factor Completely: 

9x⁶ + 30x⁵ + 24x⁴

3x⁴(x + 2)(3x + 4)

500

Factor completely: 

3x² – 30x + 75

3(x – 5)²