what is remainder theoram
Answers
✦✧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.
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Answer:
Recall that for long division for integers, the dividing process stops when the remainder is less than the divisor.
dividend = divisor × quotient + remainder
The process is similar for division of polynomials. The dividing stops when the remainder is less that the degree of the divisor.
The Remainder Theorem states that
If a polynomial f(x) is divided by a linear divisor (x – a), the remainder is f(a)
Hence, when the divisor is linear, the remainder can be found by using the Remainder Theorem.