Factoring
Quadratic Forms
Complete the Square
Complex Numbers
Mystery
100
What is x^2 + 3x - 4 factored out into two binomials?
(x + 4)(x - 1)
100
What is standard form of a quadratic function?
y= ax^2 + bx + c
100
What is the equation that is added to both sides of the expression when you complete the square?
(b/2)^2
100
How do you write the square root of -9 in complex number standard form?
3i
100
What is the equation for the discriminant?
b^2 - 4ac
200
Factor x^2 - 2x - 15 so that we have 2 binomials.
(x + 3)(x - 5)
200
What is vertex form of a quadratic function?
y= a(x-h)^2 + k Vertex located at (h, k)
200
Complete the square of x^2 -16x + 8 = 0.
x = 8 +/- 2(sq.root 14)
200
(-6 - 29i) + (8 - 12i)
2 - 41i
200
Does the inequality open up or down and is the line dotted or solid? y < -x^2 - x +2
Opens Down and the line is dotted
300
What are the zeros of the function y= x^2 +3x - 28?
The zeros of the function are -7 and 4. (Done by factoring the equation, then using the zero product property)
300
What is intercept form of a quadratic function?
y= a(x - p)(x - q) p & q are x-intercepts with an axis of symmetry at x = (p + q)/2
300
What is the solution when you complete the square: x^2 + 4x = 1.
-2 +/- (sq.root 5)
300
(-7 + 13i) - (4 + 6i)
-11 + 7i
300
Find the discriminant of x^2 + 6x + 5 = 0.
The discriminant is two real numbers -5 and -1.
400
What is 2x^2 - x - 3 factored?
(2x - 3)(x + 1)
400
Convert from intercept to standard form: y= 3(x - 1)(x + 2)
3x^2 + 3x - 6
400
Complete the square: x^2 - 24x + 81 = 0
12 +/- 3(sq.root7)
400
(7 - 4i)(6 - 8i)
10 - 80i
400
Simplify the experssion: [Square Root of (15/7)]
(Sq.Root105)/7
500
What is 3x^2 + 10x - 8 factored?
(3x - 2)(x + 4)
500
Convert from vertex to standard form y= (x + 1)^2 + 3
x^2 + 2x + 3
500
What is the solution to x^2 + 6x + 10 = 0 by completing the square?
-3 + i
500
(3 + i)/(-2 - 5i)
(-11/29) + (13i/29)
500
Multiply (8 - 2i)(-6 + 5i)
-38 + 52i
M
e
n
u