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Characteristics of a Polynomial
Graphing
Long and Synthetic Division
Theorems
Vocabulary
100
The representation of the value f(0) represent on all polynomial graphs?
What is the y-intercept?
100
Calculating this determines if a graph has symmetry.
What is f(-x).
100
The remainder of x^3-5x^2+3x-2 / x-1
What r=-3
100
The "test" that determines the end-behavior of a polynomial.
What is the Leading Coefficient Test.
100
Direct variation uses this formula.
What y=kx?
200
The degree of the polynomial f(x)=3x^4-4x+7
What is n = 4?
200
The x-intercepts of a polynomial f(x) are determined by solving this equation.
What is f(x)=0.
200
TO divide (x^3+2x^2-4x+6) / (2x+1), you must use this method.
What is long division?
200
The Remainder Theorem states that when a polynomial f(x) is divided by (x-c), the remainder is equal to this.
What is f(c).
200
A function of the form P(x)/Q(x), where P and Q are polynomials is called this.
What is a Rational Function?
300
The end-behavior of the polynomial f(x)=-2x^2+3x+1.
What is falls right and falls left?
300
The solutions to Q(x)=0 for a rational function P(x)/Q(x).
What are the vertical asymptotes.
300
The remainder when you divide (2x^3+3x^2-5x+6) / (2x+1)
What is r=9?
300
If x-c is a factor of f(x) then f(c) is equal to this.
What is zero?
300
A function of the form f(x)=ax^2+bx+c.
What is a quadratic function?
400
The multiplicity of the zero x=1 in the function f(x)=(x-1)^5*(x+1)^2
What is 5?
400
The horizontal asymptotes of the rational equation f(x)=2x+1 ______ 3x-5
What is y=2/3?
400
Given that (x-2) is a factor of f(x)=x^3-2x^2-x+2 this is the full factorization of f(x).
What is f(x)=(x-2)(x-1)(x+1)?
400
A possible rational zero of the function f(x)=3x^4-2x^2+1
What are 1 or 1/3?
400
The equation for "y vaires jointly as x and z"
What is y=kxz?
500
The minimum value of the function f(x)=x^2-2x+1.
What is 0?
500
For f(x)=ax^2+bx+c, this is the vertex.
What is (x, y)= (-b/2a, f(-b/2a) )
500
The full factorization of the polynomial f(x)=x^3-7x+6.
What is f(x)=(x-1)(x-2)(x+3)?
500
All possible rational zeros of the function f(x)=2x^5+3x-4
What are +/- 1, 2, 4, and 1/2?
500
The definition of a polynomial.
What is a_nx^n+...a_1x+a_0 where n is a non-negative integer and a_i are real numbers.