which statement about the function below is true? f(x) = x3 + 3x2 - 9x- 27 = (x-3)(x + 3)(x + 3)?
the root -3 has a multiplicity of 1.

the root -3 has a multiplicity of 2.

the root 3 has a multiplicity of 2.

the root 3 has a multiplicity of 3.

x = - 3 with multiplicity 2

Step-by-step explanation:

f(x) = (x - 3)(x + 3)(x + 3) = (x - 3)(x + 3)²

Equating each factor to zero and solving for x

x - 3 = 0 ⇒ x = 3 with multiplicity 1

x + 3 = 0 ⇒ x = - 3

x + 3 = 0 ⇒ x = -3

Thus x = - 3 has multiplicity of 2

The fact that the factor is squared gives the multiplicity

(x + 3)³ has root - 3 of multiplicity 3

linear

step-by-step explanation:

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24