cielpeacher
cielpeacher cielpeacher
  • 26-02-2021
  • Mathematics
contestada

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

Respuesta :

Imanshika33
Imanshika33 Imanshika33
  • 26-02-2021

Answer:

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

Ver imagen Imanshika33
Answer Link
AnimalPost
AnimalPost AnimalPost
  • 26-02-2021

Answer:

x = 0, [tex]\frac{2}{3}[/tex], and 1

Step-by-step explanation:

We have our equation 3[tex]x^{3}[/tex] - [tex]x^{2}[/tex] - 2x.

We can factor out an x like this:  x(3[tex]x^{2}[/tex] - 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 = [tex]\frac{2}{3}[/tex]
  • x - 1 = 0 ⇒ x = 1

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