Factoring Explanations Classwork Directions:
For the following problems, you need to explain what method of factoring you will use and explain all the steps in English words. Do your best to format the math answers. *Some are much easier than others!*
Below are two examples:
Example #1: Factor 18x^2-200y^2 completely.

For this problem, we will use the difference of squares method.
First, we will factor out the greatest common factor which is 2.
2(9x^2-100y^2 )

Second, we must determine what a and b is.
a=√(〖9x〗^2 )=3x
b=√(〖100y〗^2 )=10y

Third, we put our answer in the form (a+b)(a-b), making sure to include the GCF 2.
2(3x+10y)(3x-10y)
Example #2: Factor 2x^2-7x-15 completely.

For this problem, we will use the X method.
There is no GCF, so we will draw an x and put a*c on top (-30) and b on bottom (-7)
-10 and 3 multiply to get -30 and add to get -7.

Second, we split up the equation to now be this:
2x^2-10x+3x-15

Third, we group it together and factor out the GCF from each group.
(2x^2-10x)+(3x-15)

2x(x-5)+3(x-5)

Fourth and Last, we re-group it together to get our final answer.
(2x+3)(x-5)
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