Factoring Polynomials

Factoring

100

2x² + 10x - 16

2(x² + 5x - 8) - Common Factoring

200

9x² -1

(3x-1)(3x+1)- Difference of Squares

300

 x³ + x² + x

x(x² + x + 1) - Common Factoring

400

1 - 4x²

(1 + 2x)(1 - 2x) - Difference of Squares

500

8x²y −12x³y²

4x²y(2 - 3xy) - Common Factoring

More Factoring

100

x² + 13x + 12

(x+12)(x+1) - Trinomial Factoring

200

 2x⁴ - 16x³ + 2x

2x(x³ - 8x² + 1) - Common Factoring

300

2x² + 8x − 90

2(x+9)(x-5)
-  common factoring and Trinomial Factoring

400

x² − 13x + 36

(x-9)(x-4) - Trinomial Factoring

500

16x³ - 54

2(2x-3)(4x² + 6x + 9) -  Difference of cubes

Guess what? FACTORING

100

6x² + 17x + 5

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

200

2x² + 2x - 4

2(x+2)(x-1) - Common Factoring and trinomial factoring

300

 -12x² + 8x - 20

–4(3x² – 2x + 5) - Common Factoring

400

3x³y + x²y²

x²y(3x + y) - common factoring

500

9x⁴ – 52x² + 64

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

Factoring Fun

100

5x² -125

5(x-5)(x+5) - GCF/Difference of Squares

200

6x² + 7x - 3

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

300

2x² - 32

2(x-4)(x+4) - common factoring and difference of squares

400

6x² + 11x + 3

(2x + 3)(3x + 1) -  key #

500

16x⁴ -1

(4x²+1)(4x²-1)- Difference of Squares

(4x²+1)(2x+1)(2x-1) - - Difference of Squares

I live for Factoring

100

factor completely:

(3x⁴ + 27x²)

3x²(x² + 9)

200

3x² - 2x - 8

(3x + 4)(x - 2)-  Decomposition

300

2p⁵ + 10p⁴ - 12p³

2p³(p - 1)(p + 6)
common factoring and trinomial factoring

400

9x⁶ + 30x⁵ + 24x⁴

3x⁴(x + 2)(3x + 4)
common factoring and decomposition

500

4x³ +3x² - 4x - 3

(4x - 3)(x - 1)(x +1)  - factor by grouping/difference of squares