Verified Answer :

that is the ones that make the denomenator 0

b^2-2b-8=0
solve
factor
(b-4)(b+2)=0
b=4 and -2

answer is B

Answer:

The correct option is B

Step-by-step explanation:    

we have to find the illegal values of b in the fraction

\(\frac{2b^2+3b-10}{b^2-2b-8}\)

The values of b that makes the denominator 0 which are illegal values of b in the fraction

\(\frac{2b^2+3b-10}{b^2-2b-8}\)

\(b^2-2b-8=0\)

solve factor

\(b^2-2b-8=0\)

By middle term splitting method

\(b^2-4b+2b-8=0\)

\(b(b-4)+2(b-4)\)

\((b-4)(b+2)\)

b=4 and -2

The correct option is B