SOLUTION: Factor Completely x^2-6x+8

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Question 270344: Factor Completely
x^2-6x+8

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Given: X%5E2+-+6X+%2B+8
First list the factors of 8.
They are: 1,2,4,8
Look at the factors of 8 and see what ones will give you the 6 that you need.
2 + 4 = 6
So we will use 2 7 4 to factor the equation.
Notice that the six is negative while the eight is positive and that the six is larger than both of the factors that we want to use. This means that both factors are negative.
so: highlight%28X%5E2+-+6X+%2B+8+=+%28X-2%29+%2A+%28X-4%29%29
Check the answer:
%28X-2%29%2A%28X-4%29
X%5E2+-+4X+-+2X+%2B+8Combine like terms
X%5E2+-+6X+%2B+8
The answer was right becasue we are back to where we started.