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Old 01-13-2007   #1
hyderman
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Default Horner’s method

The Horner’s method is an algorithm that evaluates polynomials. The following pseudocode shows how to use this method to find the
value of anxn + an-1xn-1 + . . . + a1x + a0 at x = c.
procedure Horner(c, a0, a1, a2, . . . , an : real numbers)
y := an
for i := 1 to n
y := y × c + an-i
end {y = ancn + an-1cn-1 + . . . + a1c + a0}

(a) Evaluate x2 + 5x + 3 at x = 2 by working through each step of the algorithm.
(b) Exactly how many multiplications and additions are used by this algorithm to evaluate a polynomial of degree n at x = c? (Do not count additions used to increment the loop variable.)
please help me in this ... i am not sure how to solve that

thanx
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Old 01-13-2007   #2
Sillysidley

 
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what grade are you in?


ummmm. i have no clue about the question
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Old 01-13-2007   #3
puppydog
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i would have to say high school!!! that is scary!!!!
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Old 01-14-2007   #4
Temperal
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Oh, a first grader could solve this problem...
A first grader with an IQ of three thousand and nine, that is!
I think you should go to Mr. Hui for this.
I doubt the middle schoolers that compose the majority of this forum could begin to understand what you're talking about. I can't, at least
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Old 01-22-2007   #5
Scion

 
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i know you should put it in big fonts like THis
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Old 01-22-2007   #6
Temperal
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What? What are you talking about? Is this spam? It looks an awful lot like it.
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Old 03-18-2007   #7
Smzrterthanu
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Quote:
Originally Posted by hyderman View Post
The Horner’s method is an algorithm that evaluates polynomials. The following pseudocode shows how to use this method to find the
value of anxn + an-1xn-1 + . . . + a1x + a0 at x = c.
procedure Horner(c, a0, a1, a2, . . . , an : real numbers)
y := an
for i := 1 to n
y := y × c + an-i
end {y = ancn + an-1cn-1 + . . . + a1c + a0}

(a) Evaluate x2 + 5x + 3 at x = 2 by working through each step of the algorithm.
(b) Exactly how many multiplications and additions are used by this algorithm to evaluate a polynomial of degree n at x = c? (Do not count additions used to increment the loop variable.)
please help me in this ... i am not sure how to solve that

thanx
Nothing to be scared about until you are on a bunch of various forums and see hyderman asking same question as a n00b. Seriously, it is precalculus mathematics. It is usually too tedious to use ever in my mind.
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Old 03-18-2007   #8
Temperal
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And you say you do 6th grade math, you little liar.
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Old 03-18-2007   #9
Sillysidley

 
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I can't understand most of this thing..
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Old 03-18-2007   #10
Smzrterthanu
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Well I just read a precalculus book a while back. That doesn't count when I apply to highschool, and it hardly counts when you talk to people online since precalc and other subjects vary. I really bet since Horner's Method has lots to do with synthetic division some smart genius got to learn it in algebra 1. Lucky genius. But it is usually in precalc I think I learned from the people I have encountered.

Last edited by Smzrterthanu; 03-18-2007 at 05:21 PM.. Reason: Realized I need more info.
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