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Question: evaluate result of expression containing ROOTOF

Question:evaluate result of expression containing ROOTOF

gepo 541 Maple
student
June 29 2009
0
Hi, all, I have a question about how to evaluate result of expression containing ROOTOF. for example: >alias(x = RootOf(Z^3+Z+1)) >A := a[2]*x^2+a[1]*x+1 >B := b[2]*x^2+b[1]*x+1 >M1 := A*B; >expand(M1); a[2]*x^4*b[2]+a[2]*x^3*b[1]+a[2]*x^2+a[1]*x^3*b[2]+a[1]*x^2*b[1]+a[1]*x+b[2]*x^2+b[1]*x+1 >evala(expand(M1)); x^2*(1+b[2]-b[1]+a[2]*b[1]*x+a[2]*b[2]*x^2+a[1]*b[2]*x+a[1]*b[1]+a[2]-a[1]-a[1]*x^2-x^2*b[1]-x+x^2) I have questions about expand(M1) and evala(expand(M1)). >expand(M1); a[2]*x^4*b[2]+a[2]*x^3*b[1]+a[2]*x^2+a[1]*x^3*b[2]+a[1]*x^2*b[1]+a[1]*x+b[2]*x^2+b[1]*x+1 How can we make the result look better, I mean in a better order, like: (...)*x^2+(...)*x^1 >evala(expand(M1)); x^2*(1+b[2]-b[1]+a[2]*b[1]*x+a[2]*b[2]*x^2+a[1]*b[2]*x+a[1]*b[1]+a[2]-a[1]-a[1]*x^2-x^2*b[1]-x+x^2) Why are there brackets in the result which is actually a fully expanded expression. Thanks a lot.
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