Question 157347
Remember, division by zero is <b>NOT</b> defined. So any value of "q" that makes the denominator {{{q^2-64}}} equal to zero makes the entire expression undefined.




{{{q^2-64=0}}} Set the denominator equal to zero 



{{{(q+8)(q-8)=0}}} Factor the left side 




Now set each factor equal to zero:


{{{q+8=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