Find the NORMALIZED Gaussian factorization of -14+102i

generals336

generals336

Answered question

2021-05-07

Find the NORMALIZED Gaussian factorization of -14+102i

Answer & Explanation

Benedict

Benedict

Skilled2021-05-08Added 108 answers

-14+102i
N(a+bi)=(a+bi)(abi)=a2+b2
N(-14+102i)=(-14+102i)(-14-102i)
=(14)2+(102)2
=10600
Then, the prime factorization becomes
10600=2×2×2×5×5×53
=[(1+i)(1i)]3[(1+2i)(12i)]2(7+2i)(72i)

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