So for this polynomial, we will be completing the square. Firstly, what two terms have a product of 20m^2 and a sum of -12m? That would be -10m and -2m. Replace -12m with -2m - 10m: [tex] m^2-2m-10m+20 [/tex]
Next, factor m^2 - 2m and -10m + 20 separately. Make sure that they have the same quantity inside of the parentheses: [tex] m(m-2)-10(m-2) [/tex]
Now you can rewrite this expression as [tex] (m-10)(m-2) [/tex] . (m - 10) and (m - 2) are your two factors.
