Question

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

Answer 1

x = 3 or x = -5

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