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

Factor Completely: 2x² + 8x − 90

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

400

x² − 13x + 36

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

500

x² − 20x − 125

(x-25)(x+5) - Trinomial Factoring

Guess what? FACTORING

100

36x²-1

(6x + 1)(6x -1) -DOTS

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

Factor Completely: 

6x² + 36x + 48

6(x + 4)(x + 2) - gcf and trinomial

Factoring Fun

100

x² - 25

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

200

6x³ + 7x² - 3x

x(6x² + 7x - 3) - GCF

300

Factor Completely:

2x² - 32

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

400

x² - 11x + 30

(x - 5)(x - 6) -  Trinomial

500

Factor Completely:

16x⁴ -1

(4x²+1)(4x²-1)- Difference of Squares

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

I live for Factoring

100

Is this factored completely:

 3x²(x² + 9). Why or why not?

Yes, there are no more common factors between x² and 9 and an adding sign so no difference of squares

200

3x² - 6x - 9

3(x -3)(x + 2)-  GCF, trinomial

300

Factor Completely:

2p⁵ + 10p⁴ - 12p³

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

400

9x⁶ + 30x⁵ + 24x⁴

3x⁴(3x² +10x +8)
common factoring 

500

x² − 16x + 48

(x-12)(x-4) - Trinomial Factoring