if , then Not sure how to prove this.
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Well if and only if so.....
I wasn't sure if I could assume the mod p in if part because it wasn't written in the book.
Also : in general, a polynomial of degree has at most roots . In this case, we know are two roots, so there can't be any others.
Originally Posted by Bruno J. Also : in general, a polynomial of degree has at most roots . In this case, we know are two roots, so there can't be any others. Why is this true?
Originally Posted by mathman88 Why is this true? has at most 3 real solutions; however, we know it has and a conjugate pair of complex numbers.