Traits of Polynomials
Polynomial Factors
Polynomial Arithmetic
Rational Functions
Random Trivia
100
What is the degree of the polynomial? Is it odd or even?
3x^2 + x - 4x^4 + 5x^7
7, odd
100
What do zero's of a function mean?
Zero's mean that the x-values make the expression =0
The x-values where the function touches the x-axis
100
Simplify (4 - x - 2x2) - (-2 + 3x - x3)
x3 - 2x2 - 4x + 6
100
Find the vertical asymptote(s)
f(x)=(x-5)/(x-7)
x=7
100
Fill in the blank: Don't divide by ______.
Zero! It's an asymptote
200
Show us with your arms what a negative, odd end behavior would look like!
Up, down!
200
Is (3x + 1) a factor of 9x2 + 3x?
Yes! Division-Remainder is 0, Factoring-GCF
200
Simplify (x+1)(x3+2x2+3x-8)
x4+3x3+5x2-5x-8
200
Find the vertical asymptote of the function
f(x) = x/(3x - 6)
x=2
200
What is the silly interjection in our end behavior song?
Tee hee
300
x -> -oo, y -> -oo
x -> +oo, y -> +oo
What is the degree and leading coefficient of the graph shown in the end behavior above?
odd positive
300
Is it possible to have a polynomial that has an odd degree, rises to the left and falls to the right, and three factors that all have a multiplicity of 2?
No
300
The value of P(-2) for this polynomial.
P(x)=x^3-x^2+3x-2
-20
300
What is the
*Vertical Asymptote
*Horizontal Asymptote
Vertical Asymptote x=2
Horizontal Asymptote y= 0.5
300
What letter doesn’t appear in any U.S. state name?
Q
400
What is the leading term of the following polynomial:
-2(2x+3)^ 3( -x+1)^2(x+3)^3
-16x^8
400
State a possible equation for this graph:
(-1/144)((x+4)(x+3)(x+1)(x-3)(x-4)) or
((x+4)(x+3)(x+1)(x-3)(x-4))-145
400
The quotient of these polynomials, using long division.
(x^3-64)/(x^2+4x+16)
x-4
400
Given
y=(12x-2)/(2x)
What is the
*Vertical Asymptote
*Horizontal Asymptote
*Vertical Asymptote x=0
*Horizontal Asymptote y=6
400
What occurs once in a minute, twice in a moment, but never in a thousand years?
The letter M
500
DAILY DOUBLE! EVERY TEAM SOLVE - WAGER AS MANY POINTS AS YOU LIKE, CHOOSE WAGER FIRST
(ax-1)(bx+2)=cx2-x-2 for all values of x and a+b=10, what is the value of c?
c=21
(a=3, b=7)
500
Write the polynomial in factored form:
2x3 + 14x2 + 20x
State the x-int, their multiplicities and behavior, and the y-int
2x(x + 5)(x + 2)
x-int:
x=0 , m=1, cross
x=-5, m=1, cross
x=-2, m=1, cross
y-int:
y=0
500
(x3 + 11x + 12) ÷ (x + 3)
x2 - 3x + 20 - 48/(x+3)
500
7/(x^2-64) + 3/(x+8)
(3x-17)/((x+8)(x-8)
500
How do eight eights add up to one thousand?
888 + 88 + 8 + 8 + 8 = 1000