Find a product of two values that is equal to the third term in the expression being factored, that when added, equals the coefficient of the second term in the equation.Write values for the first term in each binomial such that the product of the values is equal to the first term of the expression being factored.Write 2 empty parentheses that will be filled with 2 binomials that are equivalent to the original equation. To factor using the FOIL method, use the following steps, and refer to the example below. Essentially, factoring is the opposite of expanding a binomial. In the context of factoring, the FOIL method is used to help visualize the binomials that make up a polynomial. FOIL stands for "First Outer Inner Last," which references the order in which binomials are multiplied using this method. (x 2 + 4x + 4) = (x + 2)(x + 2) FOIL methodįOIL is a method for factoring that involves using the FOIL method of binomial expansion, backwards. In cases where the terms share no common factors, a different approach will need to be used, or it may not be possible to factor the expression any further. Ideally the greatest common factor (GCF) should be used, otherwise the expression will need to be divided multiple times until it can no longer be reduced. To factor using common factors, determine what common factors the terms of the expression share, divide them out of the expression, and write them as a product of factors. If none of the above can be used, the expression cannot be factored further.Use the FOIL method backwards to factor the polynomial. ![]()
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