Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kiara23

  • 3 years ago

Which of the following represent the zeros of f(x) = 6x3 – 35x2 + 26x – 5 ?

  • This Question is Closed
  1. eashmore
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The zeros are the values of x that make the function equal to zero (also called a root). Here because the polynomial has a degree of 3, we will have three zeros. First, lets set the function equal to zero. \[6x^3 - 35x^2 +26x - 5 = 0\]Let's move the five over, factor out an x, and obtain the following\[x \left( 6x^2 - 35x + 26 \right) = 5\]We can see that one of the zeros must be equal to 5. Now let's solve the remaining second-degree polynomial to obtain the other two zeros. We can use the quadratic equation\[x = {-b \pm \sqrt{b^2 - 4ac} \over 2a }\]

  2. kiara23
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is this the answer ? 5,1/3 , –1/2

  3. eashmore
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Check the signs of your roots.

  4. robtobey
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[6 x^3-35 x^2+26 x-5=(x-5) (2 x-1) (3 x-1) \]

  5. kiara23
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    5, 1/3, 1/2

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.