A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

HOW DO I FACTOR THESE POLYNOMIALS?? x^4+x^2- 12 a^4 + 6a^2 +5 X^4- 4x^2+3 x^4- 7x^2 +10 m^4+9m^2+20 x^4=8x^2+15 x^4+x^2-12

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

    Ahhh ok so you can make the substitution: \(x^2=y\) Then factor them normally, so I'll do the first one for you: \(x^4+x^2- 12 \) substitute \(y^2+y-12\) factor normally \((y+4)(y-3)\) substitute back in \(y=x^2\) \((x^2+4)(x^2-3)\) Then you can sometimes keep factoring the terms, but here I think you're pretty much stuck unless you want to have nonintegers or imaginary numbers, \((x+2i)(x-2i)(x+\sqrt{3})(x-\sqrt{3})\) So yeah, you will probably skip this last step :P

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

    wot

  3. Empty
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    where are you stuck

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

    Ahhh ok so you can make the substitution:

  5. triciaal
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you know that the objective is to find factors of the constant that adds up to the middle coefficient. rewrite the middle term with the components regroup, factor each group then use the distributive property to take out the common factor

  6. triciaal
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1440477175099:dw|

  7. 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.