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Given two polynomials f(x) and g(x), where the degree of g(x) is less than or equal to the degree of f(x), the polynomial division of f(x) by g(x) can be expressed by the formula: f(x)/g(x) = q(x) + r(x)/g(x), where q(x) is the quotient polynomial, and r(x) is the remainder polynomial.
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This video tutorial explains how to perform long division of polynomials with remainder and with missing terms. Introduction to Polynomials: ...
Learn how to divide polynomials by monomials, binomials, and other polynomials using different methods such as splitting the terms, factorization, long division, and synthetic division. See examples, practice problems, and download free study materials on dividing polynomials.
Dividing. Polynomials can sometimes be divided using the simple methods shown on Dividing Polynomials. But sometimes it is better to use "Long Division" (a method similar to Long Division for Numbers) Numerator and Denominator. We can give each polynomial a name: the top polynomial is the numerator; the bottom polynomial is the denominator
After we have added, subtracted, and multiplied polynomials, it's time to divide them! This will prove to be a little bit more sophisticated. It turns out that not every polynomial division results in a polynomial. When it doesn't, we end up with a remainder (just like with integer division!).
Learn how to divide polynomials using long division with Khan Academy's step-by-step video tutorial.
When dividing by a monomial, divide all terms in the numerator by the monomial and then simplify each term. To simplify each term, divide the coefficients and apply the quotient rule for exponents. When dividing a polynomial by another polynomial, apply the division algorithm.
