Find all Integer Values of x....
Date: 6/27/96 at 22:39:33 From: Anonymous Subject: Find all Integer Values of x.... Dr. Math, Find all integer values of x for which [12(x^2-4x+3) / (x^3-3x^2-x+3)] has a positive integer value. Thank you, Richard
Date: 6/28/96 at 13:40:21 From: Doctor Tracy Subject: Re: Find all Integer Values of x.... Richard, The first thing that you need to do in this problem is to factor both the numerator and denominator of this fraction completely. At this point make sure to rule out any values of x which make the denominator 0. Now, you should be able to cancel some of the factors to end up with a numerator of 12 and a linear expression in x for the denominator. Since you want to know which values of x give you a positive integer value for the expression, you now know that you want the denominator of the reduced expression to be a positive divisor of 12. That is, the denominator must equal 1, 2, 3, 4, 6 or 12. Solve for x in each of these cases and you will have your answers. Make sure not to include the values that you ruled out earlier. I'm pretty sure you can complete the problem now. I hope this helps. -Doctor Tracy, The Math Forum Check out our web site! http://mathforum.org/dr.math/
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