Quadratics

Factoring

100

Factor to solve. 

x²+5x=0

x=-5 and x=0

200

Factor to solve.

k²+12k-45=0

k=-15 and k=3

300

3x²-24x-48=0

x=4

400

4x²-20x+25=0

x=5/2

500

Just factor. No solving.

8x^3+27

(2x+3)(4x^2+6x+9)

Quadratic Formula

100

-9x²-6x-1=0

x=-1/3

200

x²+4x-3=0

x=-2+√7 and x=-2-√7

300

3x²+6x+2=0

x=(-3+√3)/3 and x=(-3-√3)/3

400

2x²-5x+8=0

x=(5+i√39)/4 and x=(5-i√39)/4

500

6x²-8x+3=0

x=(4+i√2)/6 and x=(4-i√2)/6

Complete the Square

100

Fill in the blank to complete the square: x²-6x+____

9

200

Fill in the blank to complete the square: x²+10x+____

25

300

Fill in the blank to complete the square: x²+9x+____

81/4

400

x²-8x+13=0

x=4+√3 and x=4-√3

500

x²-6x-15=0

x=3+2√6 and x=3-2√6

Characteristics of a quadratic function

100

Find the axis of symmetry

x²-4x+2

x=2

200

Find the vertex (determine min. or max.)

3x²-12x-7

(2,-19) min.

300

Find the y-intercept

4x²+2x-7

y=-7

400

State the domain and range

2x²+4x-11

Domain: All reals

Range: y ≥-3

500

Complete the square to write in vertex form.

x²-4x-6

y=(x-2)^2-10

Simplify the Expression

100

√(-9)

3i

200

√(-72)

6i√(2)

300

(2-3i)-(6-5i)

-4+2i

400

(5+i)(4-2i)

22-6i

500

(4i)/(-3+6i)

(8-4i)/15