Exercise 6.3.4. Find all solutions modulo 10 to x² + 3x = 0 (mod 10). There are two distinct factorizations of this polynomial modulo 10. Can you find them?

Algebra & Trigonometry with Analytic Geometry
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Chapter2: Equations And Inequalities
Section: Chapter Questions
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Corollary 6.3.3. Let p be prime. x²-x+1= 0 (mod p) has no solutions for any prime.
Exercise 6.3.4. Find all solutions modulo 10 to x² + 3x = 0 (mod 10). There are two distinct
factorizations of this polynomial modulo 10. Can you find them?
Transcribed Image Text:Corollary 6.3.3. Let p be prime. x²-x+1= 0 (mod p) has no solutions for any prime. Exercise 6.3.4. Find all solutions modulo 10 to x² + 3x = 0 (mod 10). There are two distinct factorizations of this polynomial modulo 10. Can you find them?
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