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(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: 

(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: 

(2x² + 2x - 4)

(2x+4)(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)

Factor By Grouping

100

Factor by grouping: 

(12x³ - 9x² + 4x - 3)

(3x²+1)(4x-3)

200

Factor by grouping: 

(2x³ + 5x² + 6x + 15)

(x²+3)(2x+5)

300

Factor by grouping:

(3x³ - 4x² + 9x - 12)

(x²+3)(3x-4)

400

Factor by Grouping:

12xy - 28x - 15y + 35

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

500

Factor by Grouping:

mz - 5mh² - 5nz + 25nh²

(m - 5n)(z - 5h²)

Factor Diff. of Squares

100

x² - 4

(x+2)(x-2)

200

What 3 things are needed to factor using difference of squares.

1) 2 terms

2) Perfect Squares

3) Subtraction

300

4x² - 25

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

400

x² + 9

PRIME

500

4x²y² - 36z²

(2xy + 6z)(2xy - 6z)