Naming Polynomials
Multiplying Polynomials
Increasing and Decreasing
End Behavior
Adding/Subtracting Polynomials
Thanksgiving Trivia
100
4x^2 - 3x^3 + 6x + 7
Give the leading coefficient, degree, and type.
What is -3x^3 + 4x^2 + 6x + 7
LC = -3 Degree = 3 Type = cubic
100
5x^2 (3x - 2)
What is
5x^3 - 10x^2
100
Where is the function decreasing?
What is to the left of x = 0.
100
-2x^3 + 5x^2 + 3 End behavior:
What is -2x^3 + 5x^2 + 3 End behavior: as x approaches negative infinity, f(x) approaches positive infinity; as x approaches positive infinity, f(x) approaches negative infinity
Increases to the left and decreases to the right
100
(x^3 - 5x^2 + 2x - 7) + (x + 2)
What is x^3 - 5x^2 + 3x - 5
100
Do Americans prefer apple or pumpkin pie?
Apple
200
5x^3 + 8x + 2x^4
Give the leading coefficient, degree, and type.
What is 2x^4 + 5x^3 + 8x
LC = 2 Degree = 4 Type = quartic
200
-3t (2t^2 - 6t + 1)
What is
-6t^3 + 18t^2 - 3t
200
Is the function increasing or decreasing to the right of x = 5.
What is increasing
200
x^4 + 2x^3 - 3x + 1 End behavior:
What is x^4 + 2x^3 - 3x + 1 End behavior: as x approaches negative infinity, f(x) approaches positive infinity; as x approaches positive infinity, f(x) approaches positive infinity
Increases to the left and increases to the right
200
(x^3 - 5x^2 + 2x - 7) + (x^2 - x - 3)
What is x^3 - 4x^2 + x - 10
200
How much does the average turkey weigh: 10 lbs, 15 lbs, 20 lbs, or 25 lbs?
15 lbs.
300
1 - 11x + 9x^2
Give the leading coefficient, degree, and type.
What is 9x^2 - 11x +1
LC = 9 Degree = 2 Type = quadratic
300
(x-2)(x^2 - 2x - 3)
What is
x^3 - 4x^2 + x +6
300
Give the intervals where the function is decreasing.
x < -1.1, 2 < x < 4.1
300
-3x^6 + 9x^3 - 2x - 9 End behavior:
What is -3x^6 + 9x^3 - 2x - 9 End behavior: as x approaches negative infinity, f(x) approaches negative infinity; as x approaches positive infinity, f(x) approaches negative infinity
Decreases to the left and decreases to the right
300
(x^3 + 5x^2 + 2x) - (x + 2)
x^3 + 5x^2 + x - 2
300
Which president refused to celebrate Thanksgiving as a national holiday: Washington, Jefferson, Madison, or FDR?
Thomas Jefferson
400
-6x^2 + x^4
Give the leading coefficient, degree, and type.
What is x^4 - 6x^2
LC = 1 Degree = 4 Type = quartic
400
(x^3 - 5x^2 + 2x - 7)(x + 2)
What is x^4 - 3x^2 - 8x^2 - 3x - 14
400
Describe where the function is increasing and decreasing.
What is increasing: 0 < x <2; decreasing: x < 0 and x > 2
400
7x^5 + x^4 - 2x + 5 End behavior:
What is 7x^5 + x^4 - 2x + 5 End behavior: as x approaches negative infinity, f(x) approaches negative infinity; as x approaches positive infinity, f(x) approaches positive infinity
Decreases to the left and increases to the right
400
(-x^3 - 5x^2 - 7) - (2x^3 - 5x^2 - 3)
What is -3x^3 - 4
400
Which city has the oldest Thanksgiving Day parade?
Philadelphia