Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the function. Construct a Sign Chart below the Cartesian Plane, confirming where the function is above or below the x-axis. g) Find the leading term of this polynomial function and apply the Leading Coefficient Test to confirm the end-behaviour of this function.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 80E
Question
Consider the following higher degree polynomial function
f(x) = -2x2 (5-2x) (x² + 1).
f) Sketch the function. Construct a Sign Chart below the Cartesian
Plane, confirming where the function is above or below the x-axis.
g) Find the leading term of this polynomial function and apply the Leading
Coefficient Test to confirm the end-behaviour of this function.
Transcribed Image Text:Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the function. Construct a Sign Chart below the Cartesian Plane, confirming where the function is above or below the x-axis. g) Find the leading term of this polynomial function and apply the Leading Coefficient Test to confirm the end-behaviour of this function.
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