| Discussion: | All Topics |
| Topic: | creative opening question for a lesson |
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| Subject: | RE: Factoring polynomials |
| Author: | Magdi |
| Date: | Jul 1 2006 |
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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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