Solving Quadratic Equations
Polynomial Operations
Features of Quadratic Functions
Features of Polynomials
Functions and Inequalities
Complex Numbers
100
p2 + -2p - 10 = 5
5, -3
100
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
100
Every quadratic equation has a U-shaped graph called this.
parabola
100
What is the degree and leading coefficient
-2x^3+2x^2+5
LC: -2
Degree: 3
100
What are domain and range?
Domain is all the x-values my function can be
Range is all the y-values my function can be
100
what is i
sqrt(-1)
200
(x + 1)2 - 16 = 0
x = 5 or x =-3
200
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
200
The highest or lowest point on a parabola and the line that runs through it
vertex and axis of symmetry
200
Put the polynomial in standard form. How many terms does it have?
2x^2 -3x+5x^3-3x^2+x^4+8
x^4+5x^3-x^2-3x+8
6 terms
200
Explain the transformations needed to turn f(x) into g(x)
f(x) = x^2
g(x) = -(x+2)^2 -5
shift left 2 spaces
shift down 5 spaces
reflect across x-axis
200
what is i2
-1
300
x2 − 8 = -7x
1, -8
300
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
300
Name the vertex
y= (x+3)2 +4
(-3,4)
300
Is (x-2) a factor of
2x^3-x^2-3x-6
Yes
300
x^2+2x-8>-5
Solve the inequality
x<-3 and x>1
300
(5+3i)+(-4-7i)
1-4i
400
Use the quadratic formula to solve
x2 - 6x - 25 = 0
x=3+-sqrt34
400
Divide x4-2x3-21x2-10x+22 by x+3.
x^3-5x^2-6x+8-2/(x+3)
400
Name the vertex
x2 - 4x - 5 = 0
(2,-9)
400
What is the end behavior?
x->-infty,y->infty
x->infty,y->infty
400
What is the solution to the equation
y=2x^2 -6x-8
2x-y=16
(2,-12)
400
(-2+5i)-(6+2i)
-8+3i
500
Solve by completing the square
m2 − 10m = -9
x=9, x=1
500
Divide x3-12x2-42 by x2-2x+1
x-10+(-21x-32)/(x^2 -2x+1)
500
Name the x- and y-intercepts
y = x2 - x - 2
x-intercepts: (-1,0) and (2,0)
y-intercept: (0,-2)
500
What is the end behavior of
-x^3+2x^2-x-3
x->-infty,y->infty
x->infty,y->-infty
500
Graph the solutions to the system of inequalities
y<-2(x-3)^2 +8
y> -4x+4
500
(2+4i)(5-2i)
18+16i