I need to know if I am right on this question, Find the legal values of b in the fraction.

Question

2b^2+3b-10
-----------
b^2-2b-8

Answer 1

The fraction

A numarator is allowed to take on the value of zero in a fraction . Any legal fraction (denominator not equals to zero) with a numarator equal to zero has an overall value of zero.

The legal values is the values that make the  denominator not equals  to zero.

Now factorise the denominator.

The legal values of b  in the fraction is set of all real numbers except 4 and -2.