SOLUTION: 4x+3/ x2-6x+8 ** Find any values for which the rational expression is undefined

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 4x+3/ x2-6x+8 ** Find any values for which the rational expression is undefined       Log On


   

Question 890532: 4x+3/ x2-6x+8
** Find any values for which the rational expression is undefined
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The rational expression is undefined when the denominator is zero. So set that equal to zero and solve for x

x%5E2-6x%2B8=0

%28x-4%29%28x-2%29=0

x-4=0 or x-2=0

x=4 or x=2

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The rational expression is undefined when either x=4 or x=2 since these values cause the denominator to be zero (and you cannot divide by zero)