Final answer:
In factoring trinomials with a leading coefficient other than 1, the first step is not to look for a common factor but to use the AC method to factor the trinomial.
Explanation:
False
In factoring a trinomial with a leading coefficient other than 1, the first step is not to look for a common factor in each term and factor it out. The initial step is to multiply the leading coefficient by the constant term and find pairs of numbers that multiply to that product and add up to the middle coefficient. This method is commonly known as the AC method.
For example, when factoring the trinomial 2x² + 7x + 3, the leading coefficient is 2. By multiplying 2 and 3 (product = 6) and finding factors that add up to 7 (which are 6 and 1), the trinomial can be factored as (2x + 3)(x + 1).
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