Question

1. What are the zeros of the function?
f(x)=x3−x2−6x

A. −3 , 0, and 2

B. −3 , 0, and 1

C. −2 , 0, and 3

D. −1 , 0, and 3

Answer 1

C. 

You can factor that equation to the following:

x(x - 3)(x + 2) 

Then set each part equal to zero and solve individually. 

Answer 2

Answer with Step-by-step explanation:

We have to find the zeros of the function:

f(x)=x³-x²-6x

i.e we have to find the values of x such that:

x³-x²-6x=0

⇒ x(x²-x-6)=0

⇒ x(x²-3x+2x-6)=0

⇒ x(x(x-3)+2(x-3))=0

⇒ x(x+2)(x-3)=0

⇒ x=0  , x= -2 and x=3

Hence, Zeros of f(x)=x³-x²-6x are:

C. −2 , 0, and 3