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Sketch the graph of the function f(x) = x( x³ + x² -5x + 3). a. applying the Leading Coefficient Test to determine the end behavior of the graph of f(x). Fill in blank ( rises or falls) The graph to the left and to the right. b. Show that x = 1 is a zero: c. Use the synthetic division to factor f(x) ( you may need to factor the quotient) d. List all the zeros and their multiplicity Multiplicity Zeros e. Plot the x-intercepts and some extra points, and draw a smooth continuous curve through all the points.( x-intercepts are the zeros of f(x))

Sketch the graph of the function f(x) = x( x³ + x² -5x + 3). a. applying the Leading Coefficient Test to determine the end behavior of the graph of f(x). Fill in blank ( rises or falls) The graph to the left and to the right. b. Show that x = 1 is a zero: c. Use the synthetic division to factor f(x) ( you may need to factor the quotient) d. List all the zeros and their multiplicity Multiplicity Zeros e. Plot the x-intercepts and some extra points, and draw a smooth continuous curve through all the points.( x-intercepts are the zeros of f(x))

College Algebra (MindTap Course List)
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 78E
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Sketch the graph of the function and solve a,b,d,c,e. (image)

2. Sketch the graph of the function f(x)= x( x³ + x² -5x + 3). a. applying the Leading Coefficient Test to determine the end behavior of the graph of f(x). Fill in blank ( rises or falls) The graph to the left and to the right. b. Show that x = 1 is a zero: c. Use the synthetic division to factor f(x) ( you may need to factor the quotient) d. List all the zeros and their multiplicity Multiplicity Zeros e. Plot the x-intercepts and some extra points, and draw a smooth continuous curve through all the points.( x-intercepts are the zeros of f(x))
Transcribed Image Text:2. Sketch the graph of the function f(x)= x( x³ + x² -5x + 3). a. applying the Leading Coefficient Test to determine the end behavior of the graph of f(x). Fill in blank ( rises or falls) The graph to the left and to the right. b. Show that x = 1 is a zero: c. Use the synthetic division to factor f(x) ( you may need to factor the quotient) d. List all the zeros and their multiplicity Multiplicity Zeros e. Plot the x-intercepts and some extra points, and draw a smooth continuous curve through all the points.( x-intercepts are the zeros of f(x))
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