Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Zeros
Key Features
Interpreting Parabola
100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
7(2x+3)
14x+21
100
What are the zero's of this parabola?
f(x) = (x-7)(x+5)
(7,0) and (-5,0)
100
What is the vertex of this parabola?
(1, -4)
100
Biologists discovered an invasive bird species on an island. The function f(x) models the population size (in hundreds of birds) for this species as a function of time (in months) after being discovered. What is the maximum population size?
25 hundred
200
(3x2+4x)+(2x2-3x)
5x2+x
200
(6x2+4)-(3x2+5)
3x2-1
200
3x(2x - 8)
6x2 -24x
200
What are the zero's of this parabola?
f(x) = (x+4)(x+10)
(-4, 0) and (-10, 0)
200
What is the axis of symmetry of this parabola?
x = 1
200
Biologists discovered an invasive bird species on an island. The function f(x) models the population size (in hundreds of birds) for this species as a function of time (in months) after being discovered. When did the maximum population occur?
4 months
300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300
(2x-4)-(4x-4)
-2x
300
(2x-4)(3x-2)
6x2 -16x+8
300
Write a possible equation for the parabola in standard form ( y=Ax^2 + Bx + C ) given the solutions are -7 and -3
Factored Form:
y = (x+7)(x+3)
Standard Form:
y = x^2 + 10x + 21
300
What are the minimum and maximum of this parabola?
Minimum: y=-4
Max: none
300
Biologists discovered an invasive bird species on an island. The function f(x) models the population size (in hundreds of birds) for this species as a function of time (in months) after being discovered. How many birds were there when the biologists discovered it?
16 hundred
400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400
(2x+6)(-5x-2)
-10x2-34x-12
400
Write a possible equation for the parabola in standard form ( y=Ax^2 + Bx + C ) given the solutions are 5 and -2
Factored Form:
y = (x-5)(x+2)
Standard Form:
y = x^2 - 3x - 10
400
What is the domain and range of this parabola?
Domain:
(-oo, oo)
Range:
[-4, oo)
400
Sophie opens a new restaurant. The function f models the restaurant's net worth (in thousands of dollars) as a function of time (in months) after Sophie opens it. What portion of the domain results in a positive net worth for Sophie's restaurant?
[6, oo)
500
(5x3+4x2-2x+2)+(2x3-2x2+x+5)
7x3+2x2-x+7
500
(6x3+4x2-4x+5)-(2x3-3x2+5x-5)
4x3+7x2-9x+10
500
Ms. W wants to know how many desks can fit in her classroom next year.
The length of her classroom is x+5 ft and the width of her classroom is x-4 ft.
What is the area of her classroom?
x2+x-20 square ft
500
Write a possible equation for the parabola in standard form ( y=Ax^2 + Bx + C ) given the x-intercepts are (-2, 0) and (3, 0)
Factored Form:
y = (x+2)(x-3)
Standard Form:
y = x^2 - x - 6
500
What is the increase and decrease interval of this parabola?
Increase:
(1, oo)
Decrease:
(-oo, 1)
500
Sophie opens a new restaurant. The function f models the restaurant's net worth (in thousands of dollars) as a function of time (in months) after Sophie opens it. What is the restaurant's minimum net worth?
-12,000