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Finding Factors. Factorizing algebraic expressions is a way of turning a sum of terms into a product of smaller ones. The product is a multiplication of the factors. Sometimes it helps to look at a simpler case before venturing into the abstract.
Find two numbers (n, m) such that the product is equal to -15 (the product found in step 1) and the sum is equal to − 2(thecoeᡮ냣cientofour x term). In other words: −15 = m · n and n + m = −2. Factors of −15: −1, 15 | 1, −15 | − 3, 5 | 3, −5.
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Four Methods for Factoring Trinomials: 1. Factoring Trinomials – Trinomials of the form ax2 + bx + c can be factored by finding two numbers with a product of a⋅ c and a sum of b, such as (x + p)(x + q) where p⋅ q =c and p + q =b.
Factoring Trinomials. Jackie M. Robertson. In the box listed below, the section labeled “Problem” shows the possible signs found in the trinomials you will factor. For example, problem one, y2 9y 18 has (+) (+) meaning the first sign in the problem is positive and the second sign is positive.
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The ac-method for factoring trinomials is illustrated in Example 1. Before we begin, however, keep these two important guidelines in mind. • For any factoring problem you encounter, always factor out the GCF from all terms first. • To factor a trinomial, write the trinomial in the form . Factoring a Trinomial by the AC-Method Factor. 12x2 ...
