Question
Let () Q[] be a polynomial of degree . Let , Q with = 0. (a) Show that when we substitute = + into (),
Let () Q[] be a polynomial of degree . Let , Q with = 0.
(a) Show that when we substitute = + into (), we get a polynomial () = ( + ) and that () is of degree as well.
(b) Show that () is irreducible if and only if () is irreducible.
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A First Course In Abstract Algebra
Authors: John Fraleigh
7th Edition
0201763907, 978-0201763904
