Question

what is remainder therorem?? explain with proof?? ​

Answer 1

Answer:

In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that the remainder of the division of a polynomial by a linear polynomial is equal to In particular, is a divisor of if and only if a property known as the factor theorem.

Answer 2

Step-by-step explanation:

The Remainder Theorem begins with a polynomial say p(x), where “p(x)” is some polynomial p whose variable is x. Then as per theorem, dividing that polynomial p(x) by some linear factor x – a, where a is just some number. Here we go through long polynomial division, which results in some polynomial q(x) (the “q” stands for “the quotient polynomial”) and a polynomial remainder r(x). It can be expressed as:

p(x)/x-a = q(x) + r(x)

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