A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Elise_a18

  • one year ago

An expression is shown below: 2x3y + 18xy - 10x2y - 90y 1. Rewrite the expression so that the GCF is factored completely. 2. Rewrite the expression completely factored. Show the steps of your work. 3. If the two middle terms were switched so that the expression became 2x3y - 10x2y + 18xy - 90y, would the factored expression no longer be equivalent to your answer in part 2? Explain your reasoning.

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[2x^3y + 18xy - 10x^2y - 90y\] right?

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    common factor? each term has a \(2y\) in it factor it out first

  3. Elise_a18
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes that's correct

  4. Elise_a18
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i got 2y(9x^3-5x^2-45) for A. is that correct? @satellite73

  5. Elise_a18
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @satellite73

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    looks like you are missing something

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[2x^3y + 18xy - 10x^2y - 90y\] factor out the \(2y\) and get \[2y(x^3+9x-5x^2-45)\]

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then you can factor further, but how you are supposed to do that i am not sure

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    final factored form is \[2 y(x-5) (x^2+9)\]

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    maybe we can write \[x^3-5x^2+9x-45\] as \[x^2(x-5)+9(x-5)\] then we see a common factor of \(x-5\) so factor further as \[(x^2-9)(x-5)\]

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    as for 3) there is only one way to factor a polynomial, so nothing would change

  12. Elise_a18
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I completed it. Thanks for your help! I forgot to do that last step @satellite73

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.