SOLUTION: for the following expression, what are the restrictions for a? 2a^2+a-15 over 5 a^2+16a+3 (1 point)

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Question 706870: for the following expression, what are the restrictions for a? 2a^2+a-15 over 5 a^2+16a+3 (1 point)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The rational expression %282a%5E2%2Ba-15%29%2F%285+a%5E2%2B16a%2B3%29 does not exist when
5+a%5E2%2B16a%2B3=0 which happens for a=-1%2F5 and for a=-3
(You can find that by factoring 5+a%5E2%2B16a%2B3=%285a%2B1%29%28a%2B3%29 , or by solving 5+a%5E2%2B16a%2B3=0 using the quadratic formula).
Those are the only restrictions on the variable a.
For any value of a other than -1%2F5 and -3 the expression is defined.