Question

Find all numbers for which the rational expression is undefined.

v^2+13/v^2-3v-10

Answer 1

Set the denominator equal to zero.
Solve for v.

v^2-3v-10 = 0
(v + 2) (v - 5) = 0
(v + 2) = 0 ... so v = -2
(v - 5) = 0 ... so v = 5

Answer 2

The rational expression is undefined when v equals -2 or 5.

Answer 3

When v equals -2 or 5 the denominator equals zero. This makes the rational expression undefined.