LSC Alg II: Quadratics Review

Solve by Factoring

100

x^2+11x+24=0

x=-8,-3

200

x^2+x=0

x=0,-1

300

a^2+2=3a

x=1,2

400

x^2=48-2x

x=-8,6

500

x^2-8x+16=0

x= 4 (mult. of 2)

Solve by Square Roots

100

2x^2-3=15

x = +-3

200

16m^2-2=2

+-1/2

300

2a^2+9=17

+-4

400

6n^2-1=-31

+-isqrt(5)

500

4x^2-8=-20

+-isqrt(3)

Complex Numbers

100

(6-8i)+(2+8i)

8

200

(-2-3i)+(3+8i)

1+5i

300

(3-5i)(3-5i)

-16-30i

400

7/(8i)

-(7i)/8

500

(3+10i)/(4i)

(-3i+10)/4

Completing the Square

100

x^2+2x-15=0

x=3,-5

200

n^2-8n+7=0

n=7,1

300

x^2+18x+40=0

x=-4,-10

400

m^2-8m-84=0

m=14,-6

500

x^2-18x+10=0

9+-sqrt(71)

Mixed Category

100

Name the vertex of the quadratic function:

(x+2)^2-4

(-2,-4)

200

What shape is made by a quadratic function graphed?

Parabola

300

Write the quadratic formula.

(-b+-sqrt(b^2-4ac))/(2a)

400

How could we find the solutions of a quadratic function by looking at the graph?

See where it crosses the x-axis

500

When we divide complex numbers, we need to multiply the top and bottom by the _____________.

Conjugate