A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Determine two different values of “b” in x2 + bx + 30 so that the expression can be factored into the product of two binomials. Explain how you determined those values, and show each factorization. Explain how your process would change if the expression was 2x2 + bx + 30.

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

    So like how would I do this if b = 5 ?

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

    The polynomial is not factorable with rational numbers

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

    Why?

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

    b = 5 is not possible....

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

    b could be 17 or 13. If 17 then you have: (x+15)(x+2)=x2+15x+2x+30 If 13 then you have: (x+10)(x+3)=x2+10x+3x+30

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

    Im confused.. which one is right ? im here because I really have no idea what to do

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

    the question asked for what two numbers could b be.

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

    2x2 is what and =30 is what imma let that guy take over

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

    you know it must be in the form (x+c)(x+d), so you expand this to x^2+(c+d)x+cd, equate the coefficients with the equation you had originally so c+d=b and cd=30 by choosing an arbitrary value for c you can work out d, like so c=2, 2*d=30, so d=15, now you can work out b, 2+15=b so b=17. you can do this for as many values for c or d as you want. for 2x^2+bx+30 I would do the same except I would expand (2x+c)(x+d) instead, you would then do the same as before, equating coefficients and choosing arbitrary values for c or d.

  10. 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.