Question: 1. Let y :2 ski! E C. Note that y = l and that 12. 72, . . . , 1r are distinct complex numbers

$1. Let "y :2 ski!" E C. Note that \"y\" = l and$

1. Let "y :2 ski!" E C. Note that \"y\" = l and that 12. 72, . . . , 1r\" are distinct complex numbers {you main.r use these facts without proof) Dene p(;c) := I\" 2. (a) Show that 30(3) factors in Ctr] as (a: 121\"\")- -(;r TQM\"). (b) Show that if q(a:) is a monic factor of 33(1) in CM: then Iq[0)| = 2'"""._ where m. = deg[q). (c) Show that p(.r) is irreducible in Q[$]

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