Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ForeverRebel

  • 2 years ago

Factor completely 5w^3-20w^2+3w-12

  • This Question is Closed
  1. joshi
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you could try factor by grouping which means you would factor 5w^3 and -20w^2 together. and 3w and -12 together

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

    so it would be...-12w-12?? o my im lost

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

    well lets take 5w^3 -20w^2 for now. what do the numbers 5 and 20 have in common? like you have to see if they can both be 'factored' by the same number.

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

    5*4=20

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

    yeah that's right! so we can 'take out 5 in common' or factor the 5. basically factoring is just a simpler way of writing the same equation. so 5w^3 -20w^2 = 5(w^3 - 4w^2)

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

    because brackets mean multiplication right? so if you multiplied the 5 you would get the same thing

  7. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Factor by grouping. See what you can factor out of the first two terms, and see what you can factor out of the last two terms. 5w^3 - 20w^2 + 3w - 12 first two terms have 5w^2 as common factor last two terms have factor of 3 5w^2(w - 4) + 3(w - 4) Now notice that (w - 4) is a common factor, so take it out (w - 4)(5w^2 + 3)

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

    is that the answer?

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

    @mathstudent55

  10. mathstudent55
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, w - 4 cannot be factored, and 5w^2 + 3 cannot be factored, so that's it.

  11. 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.