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Factoring Trinomials (a = 1)



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In this lesson, we want to learn how to factor a quadratic trinomial into the product of two binomials. When we factor trinomials, we have two scenarios: an easy scenario where the leading coefficient is 1 and a harder scenario where the leading coefficient is not 1. For this lesson, we will focus on the easier scenario. Since our leading coefficient is 1, we will know the first position of each binomial. We only need to find the last position of each binomial. We can easily achieve this by finding two integers whose sum is the coefficient of the first-degree term in the trinomial, often called b and whose product is the constant term of the trinomial, often called c. We will often see this written as: find two integers whose sum is b and whose product is c. Once we have those integers, we can place them in the last position of each binomial and we will have our factored result.
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