Question

How do you simplify `(10k^2+55k+75)/(20k^2-10k-150)` and find any non permissible values?

Answer 1

`(5(2k^2+11k+15))/(10*(2k^2-k-15))=((x+3)(2x+5))/(2(x-3)(2x+5))=`
`(x+3)/(2(x-3))`; `x!=3 and x!=-5/2`

Explanation:

Use Ruffini or solution of second grade equation to find roots.