Factoring Polynomials

Find the GCF

100

2x + 6y - 10z

What is 2

200

x³ + 5x² + 7x

What is x

300

6x⁴ - 9x³ + 24x²

What is 3x²

400

2x² + 17x + 35

What is 1

500

4w⁴ - 8w²

What is 4w²

Tougher Trinomials (ax^2 +bx+c ; a >1)

100

9x² +6x +1

What is (3x +1) (3x +1)

200

3x²-10x+7

(3x-7)(x-1)

300

6x²+ 17x + 12

What is (2x + 3)(3x +4)

400

8x² - 9x + 1

What is (8x - 1)(x - 1)

500

15x²- 13x + 2

What is (5x -1) (3x - 2)

Difference of Squares

100

x² - 100

What is (x + 10)(x - 10)

200

25x² - 36

What is (5x + 6)(5x - 6)

300

100x² - 121

What is (10x + 11)(10x - 11)

400

4x² - 81 

What is (2x + 9) ( 2x - 9)

500

16x² - 25

What is (4x+5) (4x-5)

E-Z Trinomials (ax^2 +bx +c; a = 1)

100

x² + 10x +25

What is (x + 5) (x+5)

200

x² - 2x + 1

What is (x - 1) (x-1)

300

32 +18r +r²

What is (16 +r)(2+r)

400

x² - 10x - 24

What is (x -6) (x -4)

500

x² + 11x +30

What is (x + 5) (x+6)

Factor Review

100

6x - 2

What is 2(3x - 1)

200

d²+10d+24

What is (d+4) ( d+6)

300

16b² - 9

What is (4b + 3)(4b - 3)

400

3x² - 13x - 30 

What is (3x + 5) (x - 6)

500

8w⁷ + 4w³

What is 4w³ ( 2w⁴ +1)