Factor
Roots
Complex Numbers
Quadratics
100
Factor.
35x + 15
5(7x+3)
100
What are the solutions?
3(x-2)(2x+4)=0
x=2, -2
100
Simplify.
(5+6i) + (7-2i)
12+4i
100
Determine the vertex/turning point of the function.
(0,-2)
200
x2+4x-60
(x-6)(x+10)
200
Solve by factoring.
x2-64=3x+6
x=-7,10
200
What would the graph of f(x) look like if x=-3± 2i?
There will be no x-intercepts.
200
Convert from vertex to standard form.
(x-4)2+12
x2-8x+28
300
2x2+15x+28
(2x+7)(x+4)
300
How many solutions will this discriminant yield?
42-4(1)(4)
1 real solution
300
Simplify.
(2+3i)(4+2i)
8+16i+6i2 = 8+16i+6(-1) = 2+16i
300
What is the x-coordinate of the vertex of the parabola 5x2+27x-3?
x=-27/10 or x=-2.7
400
25x2-81
(5x-9)(5x+9)
400
How many solutions will this discriminant yield?
42-4(2)(-3)
2 real solutions
400
Simplify.
(3i)3
(3i)(3i)=9i2=-9(3i)=-27i
400
Which function best represents the graph?
a
500
6x2-5x-6
(3x+2)(2x-3)
500
Solve using quadratic formula.
x2-4x-45=0
x=-5, 9
500
√-1=
i2 =
i4 =
i29 =
√-1= i
i2 = -1
i4 = 1
i29 = i28 x i1 = 1 x i = i
500
If f(x)=ax2+bx+c, what are possible values of a and c?
A. a=2, c=1 B. a=-2, c=-1 C. a=2, c=-1
C