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2. Factorization - Wikipedia

   en.wikipedia.org/wiki/Factorization

   In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is an integer factorization of 15, and (x – 2)(x + 2) is a polynomial ...

3. Factorization of polynomials - Wikipedia

   en.wikipedia.org/wiki/Factorization_of_polynomials

   If two or more factors of a polynomial are identical, then the polynomial is a multiple of the square of this factor. The multiple factor is also a factor of the polynomial's derivative (with respect to any of the variables, if several). For univariate polynomials, multiple factors are equivalent to multiple roots (over a suitable extension field).

4. Unique factorization domain - Wikipedia

   en.wikipedia.org/wiki/Unique_factorization_domain

   The question of when this happens is rather subtle: for example, for the localization of k[x, y, z]/(x 2 + y 3 + z 5) at the prime ideal (x, y, z), both the local ring and its completion are UFDs, but in the apparently similar example of the localization of k[x, y, z]/(x 2 + y 3 + z 7) at the prime ideal (x, y, z) the local ring is a UFD but ...

5. Integer factorization - Wikipedia

   en.wikipedia.org/wiki/Integer_factorization

   For example, if n = 171 × p × q where p < q are very large primes, trial division will quickly produce the factors 3 and 19 but will take p divisions to find the next factor. As a contrasting example, if n is the product of the primes 13729, 1372933, and 18848997161, where 13729 × 1372933 = 18848997157, Fermat's factorization method will ...

6. Rational root theorem - Wikipedia

   en.wikipedia.org/wiki/Rational_root_theorem

   Solutions of the equation are also called roots or zeros of the polynomial on the left side. The theorem states that each rational solution x = p ⁄ q, written in lowest terms so that p and q are relatively prime, satisfies: p is an integer factor of the constant term a 0, and; q is an integer factor of the leading coefficient a n.

7. 108 “Are You Smarter Than A 5th Grader?” Questions For Your ...

   www.aol.com/lifestyle/108-smarter-5th-grader...

   Hosted by comedian Jeff Foxworthy, the original show asked adult contestants to answer questions typically found in elementary school quizzes with the help of actual fifth-graders as teammates ...