Factoring

Factor by the GCF

100

12x² + 16x

4x (3x + 4)

200

3x³ - 18x²

3x² (x - 6)

300

5x⁴ - 15x³ - 20x

5x (x³ - 3x² - 4)

400

24m²n + 36mn² + 48m³n

12mn (2m + 3n + 4m²)

500

(x + 5)² - 2(x + 5)

(x + 5)(x + 3)

Factor the Difference/ Sum of Squares

100

x² - 81

(x + 9)(x - 9)

200

x² - 1

(x + 1)(x - 1)

300

4x² - 64 

(2x - 8)(2x + 8)

400

x² + 15

(x + √15 i)(x - √15 i)

500

5x² - 45

5(x + 3)(x - 3)

Factor by the Sum and Product

100

x² + 3x - 18

(x + 6)(x - 3)

200

x² - 12x + 36

(x - 6)(x - 6)

300

x² + 15x + 36

(x + 12)(x + 3)

400

5x² + 10x - 15

5(x + 3)(x - 1)

500

-3x² - 24x - 21

-3(x + 7)(x + 1)

Factor by Grouping (Split the Middle)

100

5x² + 13x + 6

(5x + 3)(x + 2)

200

4x² - 12x + 9

(2x - 3)(2x - 3)

300

3x² + 8x + 4

(x + 2)(3x + 2)

400

6x² + 11x - 10

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

500

-3x² - 5x - 2

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

Miscellaneous

100

Multiply (x - 6)(x - 2)

x² - 8x + 12

200

ax² + bx + c makes what type of graph

parabola/ quadratic

300

Simplify √-125

5i √5

400

Simplify (5 + 7i) - (-3 + 2i)

8 + 9i

500

Solve 7x² + 63 = 0

+ - 3i