1. Section P5 Factoring Polynomials

2. Factoring a polynomial containing the sum of monomials mean finding an equivalent expression that is a product. In this section we will be factoring over the set of integers, meaning that the coefficients in the factors are integers. Polynomials that cannot be factored using integer coefficients are called prime.

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4. Sometimes all of the terms of a polynomial may not contain a common factor. However, by a suitable grouping of terms it may be possible to factor. This is called factoring by grouping.

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8. Factors of 8 8,14,2-8,-1-4,-2 Sum of Factors 96-9-6 Factor: 42 ++ Choose either two positive or two negative factors since the sign in front of the 8 is positive.

9. Factor: + - Possible factorizationsSum of outside and inside products 15 Since the sign in front of the 5 is a negative, one factor will be positive and one will be negative.

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14. Repeated Factorization- Another example Can the sum of two squares be factored?

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