Factoring
Complete the Square/
Square Roots
Quadratic Formula
100

The factors and solutions to the quadratic:

3x^2-18x

What is 

3x(x-6); x={0,6}

100

The 3-step process for completing the square.

What is "Find b, take half, and square it" ?

100

The quadratic formula

What is 

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

200

The factors and solutions to the quadratic:

x^2-9-36

What is

(x-12)(x+3) ; x={-3, 12}

200

The values of 

b, b/2, and (b/2)^2 when, x^2-8x+5

What is 

b=-8 , b/2=-4, (b/2)^2 = 16

200

The result when the discriminant is positive and a perfect square

What are 2 real, rational solutions?

300

The factors and solutions to the quadratic:

4x^2-25

What is 

(2x+5)(2x-5) ; x={-5/2,5/2}

300

The solution to the following quadratic:

(x-3)^2=8

What is 

x=3+-2sqrt(2)

300

The number and type of solutions and discriminant form the quadratic:

2x^2-3x+5

What are 2 complex solutions for the discriminant -31

400

The factors and solutions to the quadratic:

3x^2+11x-4

What is 

(3x-1)(x+4) ; x={-4,1/3}

400

The solutions to the quadratic found by completing the square:

x^2-4x+5=-3

What is 

x=2+-2i

400

The solution(s) to the quadratic found by using the quadratic formula:

3x^2-6x+6=3

What is 

x=1

500

The factors and solutions to the quadratic:

-4x^2-30x-14

What is 

-2(2x+1)(x+7) ; x={-7,-1/2}

500

The solutions to the quadratic found by completing the square:

2x^2-10x+8=0

What is 

x={1,4}

500

The solution(s) to the quadratic found by using the quadratic formula:

2x^2+6x+2=0

What is 

x=(-3+-sqrt(5))/2