utrunc, udecomp, ureverse

utrunc(p,d)

udecomp(p,d)

ureverse(p)

:: Operations on polynomials

return

univariate polynomial or list of univariate polynomials

p

univariate polynomial

d

non-negative integer

• Let x be the variable of p. Then p can be decomposed as p = p1+x^(d+1)p2, where the degree of p1 is less than or equal to d. Under the decomposition, utrunc() returns p1 and udecomp() returns [p1,p2].
• Let e be the degree of p and p[i] the coefficient of p at degree i. Then ureverse() returns p[e]+p[e-1]x+....

[132] utrunc((x+1)^10,5);
252*x^5+210*x^4+120*x^3+45*x^2+10*x+1
[133] udecomp((x+1)^10,5);
[252*x^5+210*x^4+120*x^3+45*x^2+10*x+1,x^4+10*x^3+45*x^2+120*x+210]
[134] ureverse(3*x^3+x^2+2*x);
2*x^2+x+3

References

section udiv, urem, urembymul, urembymul_precomp, ugcd.

Go to the first, previous, next, last section, table of contents.