5. (a) Evaluate the polynomial y = x³ - 8x² + 12x −0.45 at a = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y = ((x - 8) x+12)x -0.45. Evaluate the percent relative true error and compare with part (a).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 61SE: For the following exercises, use the given information about the polynomial graph to write the...
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5. (a) Evaluate the polynomial y = x³ - 8x² + 12x −0.45 at a = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error.
(b) Repeat (a) but express y as y= ((x-8) x+12)x -0.45. Evaluate the percent relative true error and compare with part (a).
Transcribed Image Text:5. (a) Evaluate the polynomial y = x³ - 8x² + 12x −0.45 at a = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y= ((x-8) x+12)x -0.45. Evaluate the percent relative true error and compare with part (a).
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