| Solved by pluggable solver: Factoring using the AC method (Factor by Grouping) | |||||||||||||||||||||||||||||||||
Looking at the expression Now multiply the first coefficient Now the question is: what two whole numbers multiply to To find these two numbers, we need to list all of the factors of Factors of 1,2,4,7,8,14,16,28,56,112 -1,-2,-4,-7,-8,-14,-16,-28,-56,-112 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to 1*112 = 112 2*56 = 112 4*28 = 112 7*16 = 112 8*14 = 112 (-1)*(-112) = 112 (-2)*(-56) = 112 (-4)*(-28) = 112 (-7)*(-16) = 112 (-8)*(-14) = 112 Now let's add up each pair of factors to see if one pair adds to the middle coefficient
From the table, we can see that there are no pairs of numbers which add to =============================================================== Answer: So So |