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 (x³ + x² + x)

x(x² + x + 1)

400

By GCF Method, factor (2x⁴ - 16x³ + 2x)

2x(x³ - 8x² + 1)

500

By GCF Method, factor (8x²y −12x³y²)

-4x²y(3xy-2)

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: 

(x² − 20x − 125)

(x-25)(x+5)

Factoring (ax^2 + bx + c)

100

Factor the trinomial: 

(6x² + 17x + 5)

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

200

Factor the trinomial completely: 

(2x² + 2x - 4)

2(x+2)(x-1)

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

Can you factor this binomial, if so do it: (1 - 4x²)

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

500

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

(2x+5)²

600

Factor completely

x⁶-x²

x²(x²+1)(x-1)(x+1)

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: (3x³y + x²y²)

x²y(3x + y)

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: (6x² – 47x + 35)

(6x – 5)(x – 7)