The quadratic equation x2 + 2x - - 8 = 0 can be rewritten as (x + 4) (x - 2) = 0.

What is the multiplicity of the root x = - -4?

multiplicity of 1

Step-by-step explanation:

Given the roots of an equation are

x = - 4 ← multiplicity 1

(x + 4) ² = 0

x + 4 = 0 or x + 4 = 0, hence

x = - 4 or x = - 4, that is

x = - 4 ← with multiplicity 2

(x + 4) ³ = 0

has roots x = - 4 with multiplicity 3

The multiplicity is determined by the exponent the factor is raised to