Let F be the field of rational functions described in the Example. (a) Show that the ordering given there satisfies the order axioms O1, O2, and O3.

arenceabigns

arenceabigns

Answered question

2021-09-15

Let F be the field of rational functions described in the Example.
(a) Show that the ordering given there satisfies the order axioms O1, O2, and O3.
(b) Write the following polynomials in order of increasing size: x2,x3,5,x+2,3x.
(c) Write the following functions in order of increasing size:
x2+2x1,x22x+1,x+1x22,x+2x21.

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-09-16Added 102 answers

Using the field axioms A1,A2, A2, A4, A5, M1,M2,M3,M4, M5,DL, O1, O2, O3, O4 we have the results. For details click inside.

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