Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

snsdfb

factor each polynomial completely. 3x^2+ 30x+ 75

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. kumar2006
    Best Response
    You've already chosen the best response.
    Medals 0

    3x^2+2250x

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

    3(x+5)(x+5)

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

    Hey guys, please explain how you got here to help snsdfb understand the process. Thanks!

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

    each term in the trinomial is factorable by 3, so pull out the 3.

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

    once you do that youll have 3(x^2+10x+25)

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

    so to factor that, find two terms that will multiple to 25, but add to 10, which is 5.

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

    so youll have 3(x+5)(x+5). to check your work, simply multiple the parenthesis and then distribute the 3

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

    thank you can you explain how to factor 5m^2- 20n^2?

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

    both of those terms are divisible by 5. so pull out the 5 from each term. youll have 5(m^2 - 4n^2)

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

    since you have more than one variable you cannot factor any further than that.

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

    okay got it. how about 2k^3-36k^2+162k?

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

    each term is divisible by 2, so divide each term by 2 and youll get 2(k^3-18k^2+81)

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

    x is also a common factor, so take out an x from each term

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

    so youll have 2k(K^2-18k+81)

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

    so now like before find two terms that multiply to positive 81, but add to negative 18, which is -9

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

    so your final answer would be 2k(k-9)(k-9). to check your answer simply multiply the parenthesis then distribute 2k to each term

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

    thank you. 12x^3-20x^2+30x-50?

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

    pull out a 2x from each term: 2x(6x^2+15x-25)

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

    since you have a leading coefficient you can't accurately an answer that has 2 parenthesis. so you will have to plug in each value into the quadratic equation. the quadratic equation is [-b+/-(sqrt((b^2)-(4*a*c)))]/(2*a)

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

    i need to factor the polynomial

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

    once you plug in all the values your answer will be -15+/--5root33 all over 12

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

    that polynomial is not factorable.

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

    okay

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

    factor the polynomial. 6x^2-2x-20

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

    pull out the 2: 2(3x^2-x-10) using the 3 find two numbers that will multiply to -10 but add to -1: (x-2)(3x+5) im not here to do your math homework, if youre having trouble with the process of getting the answer just ask me question about that.

    • 2 years ago
    • Attachments:

See more questions >>>

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.