Identify the x-intercepts by factoring and solving m^3 + 4m^2 - 6m - 24 = 0

m = - 4 or m = sqrt (6) or m = - sqrt (6)

Step-by-step 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)