Question

1. f(x) = 3x^3 - x^2 - 2x
what are the possible rational zeros for this?

Answer 1

x = 0,
`(2)/(3)`, and 1

Explanation:

We have our equation 3
`x^(3)` -
`x^(2)` - 2x.

We can factor out an x like this: x(3
`x^(2)` - x - 2)

From here, it is easy to see that: x(3x + 2)(x - 1)

Now, we just set our equation to 0 like this: 0 = x(3x + 2)(x - 1)

So,

• x = 0

• 3x - 2 = 0 ⇒ 3x = 2 ⇒ x =
  `(2)/(3)`

• x - 1 = 0 ⇒ x = 1

Answer 2

here is the answer.....hope it helps you!❤️