6. Consider a = 7+ 2i and B = 3 – 4i in Z[i]. Find o and p in Z[i] such that = Bo +P with N(p)

Section 47 Number 6

6. Consider a = 7+ 2i and B = 3 – 4i in Z[i]. Find o and p in Z[i] such that<br>= Bo +P<br>with<br>N(p) < N(B).<br>[Hint: Use the construction in the proof of Theorem 47.4.<br>Ure 1 Fuclidean algorithm in Zlil to find a gcd of 8 + 6i and5 – 15i in Z[i]-<br>

Extracted text: 6. Consider a = 7+ 2i and B = 3 – 4i in Z[i]. Find o and p in Z[i] such that = Bo +P with N(p) < n(b).="" [hint:="" use="" the="" construction="" in="" the="" proof="" of="" theorem="" 47.4.="" ure="" 1="" fuclidean="" algorithm="" in="" zlil="" to="" find="" a="" gcd="" of="" 8="" +="" 6i="" and5="" –="" 15i="" in="">

Jun 04, 2022

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6. Consider a = 7+ 2i and B = 3 – 4i in Z[i]. Find o and p in Z[i] such that = Bo +P with N(p)

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