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Discussion: All Lesson Plans on Computer
Topic: creative opening question for a lesson


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Subject:   RE: Factoring polynomials
Author: Magdi
Date: Jul 1 2006
Dears,
  If this is a stand-alone activity, for teachers you can see
one of the Maths. Prgrams like Mathematica, Derive or Maple
or MatLab. Through the Order Factor[P(x)] you get what you need.
  If it is an activity for computer programming, here is a simple
one for "quadratic polynomial ax^2+bx+c=0"
  -Input a, Input b, Input c
  -b^2-4*a*c->D
  -If D> = <0
  -Go to 100, 200, 300
100-x1=(-b+sqrt(D))/2a,x2=(-b-sqrt(D))/2a
  - Disp"P(x)=","(x-",x1,")","(x-",x2,")"
  -Go to 500
200-x1=(-b/2a)
  - Disp"P(x)=","(x-",x1,")^2"
  -Go to 500
300-x1=(-b+i*sqrt(|D|))/2a,x2=(-b-i*sqrt(|D|))/2a
  -Disp"P(x)=","(x-",x1,")","(x-",x2,")"
  -Go to 500
500- End
  If it is an activity for Precalculus we can use the theory of remainder to
factor P, using synthetic division.
  You can find a sutable program in RICHARD L.BURDEN&FARES Numerical
Analysis.Chapter 2.

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