Explain the division algorithm for polynomials
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In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division. ... The result R = 0 occurs if and only if the polynomial A has B as a factor.
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Division algorithm for polynomials states that, suppose f(x) and g(x) are the twopolynomials, where g(x)≠0, we can write: f(x) = q(x) g(x) + r(x) which is same as the Dividend = Divisor * Quotient + Remainder and where r(x) is the remainder polynomial and is equal to 0 and degree r(x) < degree g(x).
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