SOLUTION: Find all the numbers for which the rational expression is undefined: q^3-8a/q^2-64

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Question 157347: Find all the numbers for which the rational expression is undefined:
q^3-8a/q^2-64
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, division by zero is NOT defined. So any value of "q" that makes the denominator q%5E2-64 equal to zero makes the entire expression undefined.



q%5E2-64=0 Set the denominator equal to zero


%28q%2B8%29%28q-8%29=0 Factor the left side



Now set each factor equal to zero:

q%2B8=0 or q-8=0


q=-8 or q=8 Now solve for q in each case


So the values q=-8 and q=8 make the rational expression undefined