# M.Soto-540-6.docx - 1 2 Factoring Mariangelie Soto School...

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2FactoringMariangelie SotoSchool of Nursing & Health Sciences, Aspen UniversityMAT 1033: Concepts of Fundamental MathematicsAnna CudzichJuly 19, 2021
3FactoringThis module for me seemed very easy, Module 6 consists of factoring and finding thegreatest common factor between two polynomials. I found this lesson to be simple because itused methods much like the ones I used in middle school. I will be using the prime factorizationtree method for some of the problems in this assignment. Finding the greatest common factor hasalways been a fun task for me as a math student.To find the greatest common factor you must split the product into factors or itsmultiples. We know that the greatest common factor of 36 and 60 is 12. How do we know this istrue? If we used a prime factorization tree it would look as follows:36 and 602 × 2 × 3× 3 = 362 × 2 × 3× 5 = 60If we take a look at both prime factorization trees we see that the common factors are 2 × 2 × 3which equals 12. The greatest common factor also known as the greatest common divisor orhighest common factor are sets of the biggest whole numbers that evenly be divided into eachinteger. This is how we know the greatest common factor of 36 and 60 is 12.Determining which sign to use is important in mathematics, knowing which sign (plus +or minus -) to use in the binomial factors of a trinomial of the form+bx+cwherebandc
4may be positive or negative numbers is simple. As shown in the YouTube video, “Sign Rules forFactoring Trinomials” it will depend on the signs being used at the end of the trinomials. In thetrinomial+bx+cthe last sign is positive (+) which means we will have two of the samesigns, to know whether the signs are both positive or negative we must look at the middle termwhich will let us know what the signs will be. In this case, our middle term is also positive (+) soboth of our signs will be positives or plus (+). If the middle term were a negative or minus (-)then both signs would have been also negative as also indicated in our textbook chapter 7.The “AC” method and the “undo or reverse FOIL” method are similar because to factorany trinomial they both use the FOIL method itself. Both methods also differ because the “undoor reverse FOIL” method factors trinomials using the reverse method of FOIL which is very

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Foil, Greatest common divisor, Divisor, Youtube