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What does factor theorem mean?
In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.The factor theorem states that a polynomial has a factor if and only if
What is the proof for the pythoagorean theorem?
Consult any textbook on Euclidean geometry.
What is unique factor?
In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.
What are Elisha S Loomis' proofs?
Loomis was an American teacher and is famous for publishing, in 1940, a book entitled "The Pythagorean Proposition" which contained 370 different proofs of Pythagoras's theorem. The proofs are not his but from mathematicians over the centuries. The book contains a proof by Euclid, by the Indian mathematician, Bhaskara, by ancient Chinese, as well as by more modern mathematicians such as Legendre, Leibniz, and Huygens and by a former president of the United States, James Garfield. There are also several proofs discovered by high school students.
Does each natural number greater than one have its own unique prime factorization?
In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.
