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In this section, we explore how to factor trinomials of a specific type involving the relationship between binomials. The coefficient of the x term in the trinomial corresponds to the sum of the constant terms from the binomials, while the constant term in the trinomial is the product of the constant terms from these binomials. This method is pivotal for efficiently solving quadratic equations. We will also practice factoring using the AC method, laying a solid foundation for tackling more complex algebraic expressions.
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Chapter 6 Section 3 Factoring Trinomials of the type
Notice that the product of the two binomials is a trinomial. • The coefficient of the x term in the trinomial is the sum of the constant terms in the binomials. • The constant term in the trinomial is the product of the constant terms in the binomials.
Your Turn • Factor the following using the ac-method. We will use a short cut in a bit, but for now we need to learn this method.
