Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ahoymewmew

  • 3 years ago

the trinomial 10x2 + 11x + 3 is prime?

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

    can u factor 10x2 + 11x + 3

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

    I dont get it. How can a trinomial be a prime?

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

    @siddhantsharan its like a true or false answer, i guess its false.

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

    If u cannot factor it then it is prime

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

    And Yes it is prime as it cannot be factored

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

    \[10x^2 + 5x + 6x +3 = 5x(2x+1) + 3(2x+1)=(5x+3)(2x+1)\] I guess what they are asking is whether it can ever YIELD a prime.

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

    oh factors always confuse me i never seem to understand them. @sauravshakya & @siddhantsharan

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

    In the sense for different value of x can the operation give a prime. If thats the case then, For a prime, one term must be 1. => Case 1. 2x + 1 = 1 => x = 0 In this case we get a three. Which is prime. So I dunno. The question is a bit ambigous I guess. As only numbers can be primes or composites. @sauravshakya It can be factored.

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

    could you like help me how to factor something like this 4x2 + 24x + 11?

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

    then it tells you which one of these is part of the factored answer. (2x + 1) (2x - 11) (2x + 6) prime.

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

    Yeah. The trick is: Check the product of the constant term and the coefficient of x^2. Here it is 44. Then think of such factors of 44 which add up to 24. Here they are 2 and 22. So now you write it as: \[4x^2 + 2x+22x+11=2x(2x+1)+11(2x+1) = (2x+11)(x+1)\]

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

    so for something like 9x2 - 18xy + 5y2 you look at 9x^2 first and get 81 then think of factors of 81? @siddhantsharan

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

    Oh ya @siddhantsharan it can be factored... THUS,10x2 + 11x + 3 is not a prime

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

    Because prime numbers cannot be factored

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

    Here 10x2 + 11x + 3 is a number

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

    And x is constant

  17. 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