en.wikipedia.org/wiki/Irreducible_polynomial

When the coefficient ring is a field or other unique factorization domain, an irreducible polynomial is also called a prime polynomial, because it generates a ...

math.stackexchange.com/q/361599

The prime factorization is the factorization into irreducible polynomials. For example, since x3−1 can be factorized as ...

www.waynesville.k12.mo.us/cms/lib07/MO01910216/Centricity/Domain/603/A1%20C8%20STUDY%20GUIDE%20WORKED%20OUT%20SOLUTION%20KEY.pdf

+ 5x + 6 is an example of a prime polynomial. SOLUTION: The statement is false. A polynomial that cannot be written as a product of two polynomials with integral ...

quickmath.com/webMathematica3/quickmath/algebra/factor/basic.jsp

... 10x + 5 = 5(2x + 1). To factor an expression by removing common factors proceed as in example 1. ... If an expression cannot be factored it is said to be prime.

mathworld.wolfram.com/Prime-GeneratingPolynomial.html

Jones, Sato, Wada, and Wiens have also found a polynomial of degree 25 in 26 variables whose positive values are exactly the prime numbers (Flannery and ...

www.dummies.com/education/math/pre-calculus/how-to-factor-a-polynomial-expression

One set of factors, for example, of 24 is 6 and 4 because 6 times 4 = 24. ... If a polynomial doesn't factor, it's called prime because its only factors are 1 and itself .

primes.utm.edu/glossary/xpage/MatijasevicPoly.html

... 1971 [Matijasevic71], and in 1976 Jones, Sato, Wada and Wiens gave the following explicit example of such a polynomial with 26 variables (and degree 25 ).

www.coursehero.com/file/p364153/A-polynomial-is-factored-completely-when-it-is-written-as-a-product-of-prime

A polynomial is factored completely when it is written as a product of prime from MAT 221 at Ashford University. ... Example 7 illustrates factoring completely.

saylordotorg.github.io/text_intermediate-algebra/s07-02-factoring-polynomials.html

If any constant is factored out, the resulting polynomial factor will not have integer coefficients. Furthermore, some linear factors are not prime. For example,.

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A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime ...