F (x) = - (x+5) (x-3) ^3

Multiplicity

x = 3 or x = - 5

Step-by-step explanation:

Solve for x over the real numbers:

- (x + 5) (x - 3) ^3 = 0

Multiply both sides by - 1:

(x - 3) ^3 (x + 5) = 0

Split into two equations:

(x - 3) ^3 = 0 or x + 5 = 0

Take cube roots of both sides:

x - 3 = 0 or x + 5 = 0

Add 3 to both sides:

x = 3 or x + 5 = 0

Subtract 5 from both sides:

Answer: x = 3 or x = - 5