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The following algorithm which is used to evaluate a polynomial anz" +an-12¹−¹+...+₁²+ªo at r = c is expressed in pseudocode as follows: procedure polynomial evaluation (e, ao,,an real numbers) y := an for i:=1 to n y := y*c+an-i return y {y=a₂2" + ª₂_12²−¹+...+₁+ao}. where the final value of y is the value of the polynomial at r = c. (a) Evaluate 12r¹ + 3x³ − 5x² + 7x − 8 at z = -1 by working through each step of the a showing the values assigned at each assignment step CLEARLY. Answers with missing it indices, etc. will not be taken into account.

The following algorithm which is used to evaluate a polynomial anz" +an-12¹−¹+...+₁²+ªo at r = c is expressed in pseudocode as follows: procedure polynomial evaluation (e, ao,,an real numbers) y := an for i:=1 to n y := y*c+an-i return y {y=a₂2" + ª₂_12²−¹+...+₁+ao}. where the final value of y is the value of the polynomial at r = c. (a) Evaluate 12r¹ + 3x³ − 5x² + 7x − 8 at z = -1 by working through each step of the a showing the values assigned at each assignment step CLEARLY. Answers with missing it indices, etc. will not be taken into account.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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Problem 2. The following algorithm which is used to evaluate a polynomial anr" + an-17"-1 +……+a1x + ao at r = c is expressed in pseudocode as follows: procedure polynomial evaluation (c, ao, - - - ,an : real numbers) y:= an for i := 1 to n y := y *c+ an-i return y {y = an" + an-17"-1 + ...+aįx+ ao}. where the final value of y is the value of the polynomial at r = c. (a) Evaluate 12r + 3r3 – 52² + 7x – 8 at r = -1 by working through each step of the a showing the values assigned at each assignment step CLEARLY. Answers with missing it indices, etc. will not be taken into account.
Transcribed Image Text:Problem 2. The following algorithm which is used to evaluate a polynomial anr" + an-17"-1 +……+a1x + ao at r = c is expressed in pseudocode as follows: procedure polynomial evaluation (c, ao, - - - ,an : real numbers) y:= an for i := 1 to n y := y *c+ an-i return y {y = an" + an-17"-1 + ...+aįx+ ao}. where the final value of y is the value of the polynomial at r = c. (a) Evaluate 12r + 3r3 – 52² + 7x – 8 at r = -1 by working through each step of the a showing the values assigned at each assignment step CLEARLY. Answers with missing it indices, etc. will not be taken into account.
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