Unit 2- Factoring/Quadratics

Factoring/Box Method

200

FOIL: (2x-1)(x-5)

2x²-11x+5

400

FOIL: (2x+3)(x²+8x-5)

2x³+19x²+14x-15

600

Factor using box method: 

x²-12x+32

(x-4)(x-8) 

800

Factor using box method: 3x²+18x-165

3(x+11)(x-5) 

1000

Factor: 2p³+5p²+6p+15

(p²+3)(2p+5) 

Sum & Difference of Cubes

200

Factor: 27x³-64

(3x-4)(9x²+12x+16)

400

Factor: 8x⁴+x

x(2x+1)(4x²-2x+1)

600

Simplify: 

(2b+5)(4b²-10b+25)

8b³+125

800

Simplify: 

x(5x-2)(25x²+10x+4)

125x⁴-8x

1000

Fill in the blanks: (4x__)(__-12x+__) then simplify

(4x+3)(16x²-12x+9)

64x³+27

Difference of Squares

200

FOIL: (x+8)(x-8)

x²-64

400

Factor: x²-81

(x+9)(x-9) 

600

Factor: 9x²-144

3(x+4)(x-4)

800

Factor: x⁴-16

(x²+4)(x+2)(x-2)

1000

Factor: 3x⁸-768

3(x⁴+16)(x²+4)(x+2)(x-2)

Forms of Quadratic Equations I

200

What form is this?: 

y=(x+3)(x-4)

Intercept form

400

Solve by factoring: 

3x²+14x-49=0

x=-7, x=7/3

600

Solve by factoring: b²+15b=-56

x=-8, x=-7

800

True or false? All quadratic functions can be written in intercept form

False

1000

Convert into vertex form: y=2(x-5)(x+7)

y=2(x+1)²-72

Forms of Quadratic Equations II

200

What form is this?: y=2x²+97+11

Standard form

400

Transform the function so that the parabola opens downward: y=9(x+82)²+34

y=-9(x+82)²+34

600

Find x and y-intercept(s): 

y=-(x-11)(x+14)

x-intercepts: (-14,0), (11,0)

y-intercept: (0,154)

800

Find axis of symmetry and vertex: y=-2x²+12x-16

AOS: x=3

Vertex: (3,-2)

1000

Find the vertex form given the following information: A parabola goes though the points (6,0), (4,0), and (9,-30)

y=-2(x-5)²+2