Polynomial remainder theorem
On the remainder of division by x – r / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Polynomial remainder theorem?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
"Little Bézout's theorem" redirects here. For the intersection number of two algebraic curves, see Bézout's theorem. For a relation in the theory of greatest common divisors, see Bézout's identity.
In algebra, the polynomial remainder theorem or little Bézout's theorem (named after Étienne Bézout)[1] is an application of Euclidean division of polynomials. It states that, for every number any polynomial is the sum of and the product by of a polynomial in of degree less than the degree of In particular, is the remainder of the Euclidean division of by and is a divisor of if and only if [2] a property known as the factor theorem.