King Exponent Rules
Stay Classifying of Polynomials, San Diego
Dr. Nomial, Operations with Polynomials
The Great Divide (of polynomials)
The Solutions to All Life's Problems
100
x^0
1
100
State the behavior of f(x)=x^3 as x goes to infinity and as x goes to negative infinity
As x goes to infinity, f(x) goes to infinity As x goes to -infinity, f(x) goes to -infinity
100
Multiply x(x^2+2)
x^3+2x
100
(x^2-9)divided by (x+3)
(x-3)
100
Find the solutions x(x-3)=0
0, 3
200
(x^3*y^4)^2
x^6*y^8
200
Classify 5x^7+3x^4-8x^9 by degree as well as number of terms
Ninth degree trinomial
200
(x^4+7x^2)(x-3x^3)
-x^7-20x^5+7x^3
200
(2x^2+5x-3) divided by (x+3)
2x-1
200
Factor and find the solutions: 2x^3-6x^2=0
2x^2(x-3)=0 Solutions 0, 3
300
(5a^3)(-3a^(-4))
-15/a
300
State the end behavior of f(x)=5-17x^7+9x^10
As x goes to infinity, f(x) goes to infinity. As x goes to -infinity, f(x) goes to infinity.
300
(x^2+x+2)(x+5)
x^3+7x^2+7x+10
300
(3x^4-2x^3+6) divided by (x-1)
3x^3+x^2-1 R5
300
Factor and find the solutions: x^3-3x^2-2x+6=0
(x^2-2)(x-3) Solutions+/- root 2, 3
400
(4x^6*y^2*z^3)/(x^10*y^3*z^2)
4z/(x^4*y)
400
DAILY DOUBLE Classify by degree and terms and state the end behavior of f(x)=-3x^7+5x^4
Seventh degree binomial As x goes to infinity, f(x) goes to -infinity As x goes to -infinity, f(x) goes to infinity
400
DAILY DOUBLE Expand (x+2)^4
x^4+8x^3+24x^2+32x^3+32
400
(x^3-3x^2-2x+6) divided by (x^2-1)
x-3 R (-x+3)
400
Factor, find all real solutions: x^4+10x^2+16=0
(x^2+8)(x^2+2) Solutions: NO REAL SOLUTIONS
500
((r^-1*s^2*t^-5)/(r^-2*s^0*t^3))^-1
t^8/(r*s^2)
500
Classify by degree, terms, and find end behavior of f(x)=-2x^9+3x^6-4+12x^11
11th degree polynomial of four terms As x goes to infinity, f(x) goes to infinity As x goes to -infinity, f(x) goes to -infinity
500
(x^3+x^2+4)(x^3+3x-3)
x^6+x^5+3x^4+4x^3-3x^2+12x-12
500
(x^6+3x^4-5x^3+4x-2) divided by (x^2-2)
x^4+x^2-5x-2 R -6x-6
500
Factor, find all real solutions: 18x^3-2x^2+27x=-3
(2x^2+3)(9x-1) Solutions: 1/9
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