Explanation Calculation: Sketch the graph of the function f ( x ) = 8 x 4 − 22 x 3 − 11 x 2 + 52 x − 12 as shown below in Figure 1. From Figure 1, it is observed that x -intercepts of the functions are x = − 3 2 , 1 4 and 2 . That is, f ( x ) = 0 at x = − 3 2 , 1 4 and 2 . Therefore, the zeros of the functions are − 3 2 , 1 4 and 2 . From the graph, − 3 2 , 1 4 and 2 are the zeros of the function by factoring the function. 8 − 22 − 11 52 − 12 2 16 − 12 − 46 12 _ 8 − 6 − 23 6 0 2 16 20 − 6 _ 8 10 − 3 That is, the remainder is 0

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 15, Problem 46RE

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To sketch: The graph of the function f(x)=8x4−22x3−11x2+52x−12 and then use the graph as an assist in factoring the function.

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Chapter 15, Problem 45RE

Chapter 15, Problem 47RE

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Chapter 15 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

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The graph of the function f ( x ) = 8 x 4 − 22 x 3 − 11 x 2 + 52 x − 12 and then use the graph as an assist in factoring the function.

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To sketch: The graph of the function f(x)=8x4−22x3−11x2+52x−12 and then use the graph as an assist in factoring the function.

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Chapter 15 Solutions