1. The conventional algorithm for evaluating a polynomial a„x“ + an-1x" at x = c can be expressed in pseudocode by + …+a¡x +ao procedure polynomial(c, ao, a1, ..., am: real numbers) power := 1 y := ao for i := 1 to n power := power *c у:3у+а; * power return y{y = anc" + an-1c" п-1 + ... + aịc + ao} where the final value of y is the value of the polynomial at x = c. a) Evaluate 3x +x + 1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step.
1. The conventional algorithm for evaluating a polynomial a„x“ + an-1x" at x = c can be expressed in pseudocode by + …+a¡x +ao procedure polynomial(c, ao, a1, ..., am: real numbers) power := 1 y := ao for i := 1 to n power := power *c у:3у+а; * power return y{y = anc" + an-1c" п-1 + ... + aịc + ao} where the final value of y is the value of the polynomial at x = c. a) Evaluate 3x +x + 1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:п-1
+..+a1x +a0
1. The conventional algorithm for evaluating a polynomial a„x“ +an-1x"
at x = c can be expressed in pseudocode by
procedure polynomial(c, ao, a1, ..., a,: real numbers)
power := 1
y := ao
for i := 1 to n
power := power *c
у:3Dу+а; * power
return y{y = anc" + an-1c"
п-1
+ ... + aịc + ao}
where the final value of y is the value of the polynomial at x = c.
a) Evaluate 3x +x+1 at x = 2 by working through each step of the algorithm showing
the values assigned at each assignment step.
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