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

[Sillysidley]

what grade are you in?


ummmm. i have no clue about the question

i would have to say high school!!! that is scary!!!!

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

[Scion]

i know you should put it in big fonts like THis

What? What are you talking about? Is this spam? It looks an awful lot like it.

Originally Posted by hyderman

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.

And you say you do 6th grade math, you little liar.

[Sillysidley]

I can't understand most of this thing..

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.