Polynomial Basics
Random
Polynomial Graphs
Potpourri
Power Functions
100
Can a linear expression (3x + 1) be considered a polynomial?
Yes
100
What is the AZ Cardinals record this season?
1-2
100
What word is used to describe the shape of a quadratic polynomial graph?
Parabola
100
True or false: All constant functions are polynomials.
True
100
What is the constant of variation in the power function
f(x) = pi r^2?
pi
200
What vocabulary term is used to classify the polynomial based on the highest value of its variable?
Degree
200
What mammal, if any, lays eggs?
Platypus
200
Functions that have a general "S" type shape will be polynomials of what type of degree?
Odd degree
200
How many times will a polynomial graph with no real solutions cross the x-axis?
None
200
Charles’s Law states the volume V of an enclosed ideal gas at a constant pressure varies directly as the absolute temperature T. Write a power function.
V=kT
300
In the polynomial 4x^2 + 3x - 1, 4 is considered the...
Leading coefficient
300
What do you call a group of ravens?
Unkindness
300
Polynomial functions of even degree have what end behaviour?
Ends travel together
300
What is the remainder when 2x^3 +7x^2 -18x +3 is divided by (x-1)?
-6
300
Write a power function: The current I in an electrical circuit is inversely proportional to the resistance R, with constant of variation V.
I=V/R
400
Give an example of a fifth degree polynomial with three terms.
Answers may vary; Larson will judge
400
What did Romans use to remove stains from clothing?
Urine
400
Sketch an example of a fifth degree polynomial function with two real roots.
Answers may vary; Larson to judge
400
-1 and 2 are real roots of the polynomial. Find the rest of the roots. 
+-sqrt5
400
Are all power functions polynomials? If not, explain.
No--polynomials must have positive integer exponents. Power functions can have negative or rational exponents.
500
Name 5 characteristics of Polynomial Functions
Multiplicity, domain/range, intercepts, number of turns, end behavior, leading coefficient, degree
500
Before people made jack-o'-lanterns for Halloween, what vegetable did they carve faces into?
Turnip
500
Draw a polynomial graph that could match the polynomial function:
f(x) = (x-4)(x+2)(x^2+1)
Answers may vary; any quartic function with zeroes at x=4 and x=-2 may suffice (Dan to judge)
500
Factor fully
2x^3+3x^2-2x-3
(x-1)(x+1)(2x+3)
500
The volume of an enclosed gas (at a constant temperature) varies inversely as the pressure. The pressure of a 3.46-L sample of neon gas at a temperature of 302 K is 0.926 atm. Write the power function.
V=3.20/P