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751262
Polynomial Functions
Description
Mind Map on Polynomial Functions, created by Mathew_George on 12/04/2014.
Mind Map by
Mathew_George
, updated more than 1 year ago
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Created by
Mathew_George
almost 11 years ago
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Resource summary
Polynomial Functions
degree
Odd
Even
leading coefficient
Positive
Negative
End behaviour
Domain
{x ∈ R}
Multiplicity
Multiplicity of 1
Multiplicity of 2
Multiplicity of 3
Factorization
Factor Theorem
Long Division
Remainder Theorem
Synthetic Division
Intervals of Increase and Decrease
Increasing
x∈ (-∞,-2) ∪ (0,∞)
Decreasing
x∈ (-2,0)
Increasing
x∈ (-3,0) ∪ (2,∞)
Decreasing
x∈ (-∞,-3) ∪ (0,2)
Symmetry
Symmetry across the y-axis
Mirror image across the y-axis
Symmetry across the origin
Looks the same even after its flipped 180 degrees
Solving Inequalities
x³+7x²+10x ≥ 0
x(x²+7x+10x) ≥ 0
x(x+5) (x+2) ≥ 0
f(x) ≥ 0 when
x∈ [-5,2] ∪ [0,∞)
Media attachments
cubic_function (image/jpg)
cubic_reflected (image/png)
quadratic.GIF (image/GIF)
Quadratic_Function_clip_image024 (image/jpg)
polyGraphOne (image/jpg)
multiplicity_2 (image/jpg)
multiplicity_3 (image/jpg)
download__1_ (image/jpg)
polynomial_2 (image/jpg)
Quadratic_Function_clip_image024 (image/jpg)
cubic.gif (image/gif)
polynomial_inequalities_table (image/png)
polynomial_inequality (image/png)
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