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What is the process of factoring a trinomial?

In your own words, explain the process of factoring a trinomial with a leading coefficient that is not equal to one. Why is this process more difficult than when the leading coefficient is equal to one? Give an example.

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When the leading coefficient is not one, it adds an additional dimension of complexity to the problem of factoring. The problem lies in the fact that more than one number's factors must be included in order to solve the problem, which generates a greater number of possibilities that must be checked. Since brute-force "guess and check" is the most common method of factoring, adding extra possibilities can ...

Solution Summary

Factoring is simple enough when you only have to worry about factoring the third term, but how do you factor a trinomial when the first term has a coefficient not equal to one? It adds some complexity! This solution will help you on your way to understanding this concept in 257 words.