Factoring Completely
Solving Equations
Complex Numbers
Completing the Square
Quadratic Formula
100
Factor by GCF 18x+27
9(2x+3)
100
Solve the equation by factoring: x^2 + 9x + 20 = 0
x=-5 or x=-4
100
What is the square root of -1?
i
100
Complete the square and write it as a factored expression: x^2 + 8x + _____ = ( )^2
x^2 + 8x + 16 = (x+4)^2
100
State the Quadratic Formula
x = (-b +- sqrt(b^2 - 4ac)) / 2a
200
Factor by Difference of Two Squares 4x^2 - 25
(2x-5)(2x+5)
200
Solve the equation by factoring: x^2 - 11x +24 = 0
x=8 or x=3
200
What is i^1, i^2, i^3, and i^4?
i, -1, -i, 1
200
Complete the square and write it as a factored expression: x^2 - 6x + ____ = ( )^2
x^2 - 6x + 9 = (x-3)^2
200
Find the discriminant and say what you know about the solutions to the equation: x^2 - 6x + 9 = 0
discriminant = 0, one real solution
300
Factor by using the X-Method x^2 + 3x - 40
(x+8)(x-5)
300
Solve the equation by factoring: 2x^2 - 3x - 9 = 0
x=3 or x = -3/2
300
What is the square root of -108?
6i * sqrt(3)
300
Describe how you complete the square?
You need to take half of b and square it. Then add the square term to both sides.
300
Solve the equation using the Quadratic Formula: x^2 + 3x = 5
x = 1.19 or -4.19
400
Factor by using the X-Box Method 2x^2 + 11x + 15
(2x+5)(x+3)
400
Solve the equation by factoring: 9x^2 - 4 = 0
x= 2/3 or x= -2/3
400
What is 10 - (2 + 3i) - 5i
8 - 8i
400
Solve the equation by completing the square: x^2 + 10x - 90 = -10
x = -5 +- sqrt(105)
400
Solve the equation using the quadratic formula: 25x^2 - 8x = 12x - 4
x = 2/5
500
Factor 28*x^5*y^3 + 42*x^3*y^4
7x^3y^3(4x^2 + 6y)
500
Solve the equation using the square root method: x^2 + 10x + 25 = 100
x=-15 or x=5
500
What is (2+i)^2
3+4i
500
Solve the equation by completing the square: 2x^2 - 4x + 14 = 0
x= 1 +- i*sqrt(7)
500
Solve the equation using the quadratic formula: -x^2 +4x = 13
x = 2 +- 3i
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