Tom K. answered • 06/27/20
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(x2 - 4x + 7)/(x+5) = x - 9 + 52/(x+5)
If you are saying that this is an integer, then we look at the values for which 52/(x+5) is an integer.
The factors of 52 are 1, 13, 2, 26, 4, 52, -1, -13, - 2, -26, -4, -52
Thus, we subtract 5 from all of these values: -4, 8, -3, 21, -1, 47, -6, -18, -7, -31, -9, -57
Tom K.
x+5 is a factor means that x = -5 is a root.
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06/28/20
Henry I.
Thank you. I had an idea that dividing was the first step. I still don't quite see why you subtract 5 nor exactly what the second factor would be: (x+?) I'm also extremely curious about why my other commenter is wrong? Because even though the (x+5) is given in the problem, -5 is not, in fact a root for this equation, right? Thanks again for your help.06/28/20