factoring !!

how to...

100

F.O.I.L stands for

What is first, outside, inside, last?

200

The factor we pull out first

What is the Greatest Common Factor (GCF)

300

(x + 3) and (x - 2) 

What are factors ?

400

To check...

FOIL the factors together !

500

Quadratic function

What is ax² + bx + c

trinomials

100

Factor: x² - 3x - 4

What is: (x + 1) (x - 4)

(4 x 1= 4

-4 + 1= -3)

200

Find X: x² + x + 6

What is: x= [-3, -2]

(-3 x -2 = 6

3 - 2 =1)

300

Factor: x² - 2x - 8 

What is: (x + 2) (x - 4)

(2 x 4 = 8

-4 + 2 = -2)

400

Factor: x² + 3x + 2

What is: (x + 1) (x + 2)

(1 x 2 = 2

1 + 2 = 3)

500

Find x: x² + 5x + 6

What is: x = [2, 3]

(2 x 3 = 6

2 + 3 = 5)

perfect squares

100

Factor: x² + 16

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

(4² = 16)

200

Find x: x² + 25

What is: x = [-5, 5]

( 5 x 5 = 25)

300

Find x: x² - 64

What is: NONE ! 

(prime because of the '-')

400

Factor: x² + 81

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

(9 x 9 = 81)

500

Find X: x² + 169

What is: x = [-13, 13]

(13 x 13 = 169)

polynomials with a leading coefficient

100

Factor: 2x² - x - 15

What is: (2x + 5) (x - 3)

(2 x 1 = 2

5 x 3 = 15

2(-3) + 5 = -1)

200

Factor: 2x² - 9x - 81

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

300

Factor: 5x² + 8x + 80

What is: Not Factorable

400

Factor: 7x² + 6x - 1

What is: (7x - 1)(x + 1)

500

Factor: 4x² - 35x + 24

What is: (x - 8) (4x - 3)

perfect cubes

100

S.O.A.P

What is: same, opposite, always positive

200

Factor: (x³ + 8)

What is: (x + 2) (x² - 2x + 4)

(cube root of 8 = 2 and of x cubed = x,

2(x) = 2x

2² = 4)

300

Factor: (x³ - 27)

What is: (x - 3)(x² + 3x + 9)

400

Factor: (x³ + 125)

What is: (x + 5) (x² - 5x + 25)

500

Factor: (x³ + 64y)

What is: (x + 4y) (x² - 4xy + 16y²)