If $m$ is a real number and $2x^2+mx+8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.

2x^2 + mx + 8

If this has two distinctreal roots, then the discriminant is > 0

Sp

b^2 - 4ac > 0

m^2 - 4(2)(8) > 0

m^2 - 64 > 0

m^2 > 64

The possible values for m are

( - inf, -8) U (8, inf )