Answer:
m = -4 or m = sqrt(6) or m = -sqrt(6)
Explanation:
Solve for m:
m^3 + 4 m^2 - 6 m - 24 = 0
The left hand side factors into a product with two terms:
(m + 4) (m^2 - 6) = 0
Split into two equations:
m + 4 = 0 or m^2 - 6 = 0
Subtract 4 from both sides:
m = -4 or m^2 - 6 = 0
Add 6 to both sides:
m = -4 or m^2 = 6
Take the square root of both sides:
Answer: m = -4 or m = sqrt(6) or m = -sqrt(6)