Consider the ideal [tex]I[/tex] of [tex]Q[x][/tex] generated by the two polynomials [tex]f = x^2+1[/tex] and [tex]g=x^6+x^3+x+1[/tex](adsbygoogle = window.adsbygoogle || []).push({});

a) find [tex]h[/tex] in [tex]Q[x][/tex] such that [tex]I=<h>[/tex]

b) find two polynomials [tex]s, t[/tex] in [tex]Q[x][/tex] such that [tex]h=sf+tg[/tex]

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# Ideals in the ring Q[X]

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