Polynomial And Rational Functions Flashcards

1
Q

Quadratic Functions

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2
Q

Graphing f(x) = ax2 + bx + c by Completing the Square

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3
Q

Vertex Formula

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4
Q

Division of Polynomials

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5
Q

Complex Polynomial Functions

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6
Q

The Fundamental Theorem of Algebra

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7
Q

The Linear Factorization Theorem

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8
Q

Zeroes of Multiplicity

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9
Q

Corollary I: Irreducible Quadratic Factors

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10
Q

Corollary II: Complex Conjugates

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11
Q

Corollary III: Number of Zeroes

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12
Q

The Intermediate Value Theorem

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13
Q

The Rational Zeroes Theorem

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14
Q

Tests to Determine If 1 or −1 is a Zero of P

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15
Q

Descartes’ Rule of Signs

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16
Q

Upper and Lower Bounds Property

17
Q

Polynomial Graphs and Turning Points

18
Q

The End Behavior of a Polynomial Graph

19
Q

Polynomial Graphs and Zeroes of Multiplicity

20
Q

Guidelines for Graphing Polynomial Functions

21
Q

Rational Functions

22
Q

Horizontal Asymptotes

23
Q

Vertical Asymptotes

24
Q

Vertical Asymptotes of a Rational Function

25
Horizontal Asymptotes
26
Guidelines for Graphing Rational Functions
27
Oblique and Nonlinear Asymptotes
28
Solving Polynomial Inequalities
29
Direct Variation
30
Solving Applications of Variation
31
Inverse Variation
32