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 One basic principle that can be used to simplify a polynomial is factoring; our finding the greatest common factor. Factoring a polynomial containing the sum of monomials means finding an equivalent expression that is a product. Polynomials that cannot be factored using integer coefficients are called prime polynomials over the set of integers. The greatest common factor, GCF, is an expression of the highest degree that divides each term of the polynomial.
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