This lesson describes the method to find the factors of a trinomial, which consists of three terms, by grouping. First of all, factor out the greatest common factor (GCF), and write the reduced trinomial in parentheses. Let the terms of the trinomial be written in order of exponent of the variable. For example, 3(3X2+2X-8) trinomial is written in the order of variable, with 3(GCF) factored out. Now identify the coefficient of the first and last terms, for example in this case, it is 3 and 8. Now choose a pair of factors whose product is equivalent to the product of first and last terms of the trinomial, and the sum is equal to the middle term, both in terms of value and sign. Rewrite the trinomial by breaking the middle term in terms of the two chosen factors, that is, 3X2 + 6x-4x _8. Now pull out the common factors for each pair ensuring that in both the pairs, we have same monomial in the parentheses. For example, our trinomial will look like X(3X-4)+2(3X-4). Rewrite the trinomial in terms of GCF and the paired factors we get 3(3X-4)(X+2). Hence, we can find the factors of a trinomial by following the four steps viz., find the GCF, find the factors, rewrite the statement and factor by grouping.
Want to master Microsoft Excel and take your work-from-home job prospects to the next level? Jump-start your career with our Premium A-to-Z Microsoft Excel Training Bundle from the new Gadget Hacks Shop and get lifetime access to more than 40 hours of Basic to Advanced instruction on functions, formula, tools, and more.
Other worthwhile deals to check out:
- 97% off The Ultimate 2021 White Hat Hacker Certification Bundle
- 98% off The 2021 Accounting Mastery Bootcamp Bundle
- 99% off The 2021 All-in-One Data Scientist Mega Bundle
- 59% off XSplit VCam: Lifetime Subscription (Windows)
- 98% off The 2021 Premium Learn To Code Certification Bundle
- 62% off MindMaster Mind Mapping Software: Perpetual License
- 41% off NetSpot Home Wi-Fi Analyzer: Lifetime Upgrades