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ahoymewmew

  • 2 years ago

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

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  1. sauravshakya
    • 2 years ago
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    can u factor 10x2 + 11x + 3

  2. siddhantsharan
    • 2 years ago
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    I dont get it. How can a trinomial be a prime?

  3. ahoymewmew
    • 2 years ago
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    @siddhantsharan its like a true or false answer, i guess its false.

  4. sauravshakya
    • 2 years ago
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    If u cannot factor it then it is prime

  5. sauravshakya
    • 2 years ago
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    And Yes it is prime as it cannot be factored

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

  7. ahoymewmew
    • 2 years ago
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    oh factors always confuse me i never seem to understand them. @sauravshakya & @siddhantsharan

  8. siddhantsharan
    • 2 years ago
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    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
    • 2 years ago
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    could you like help me how to factor something like this 4x2 + 24x + 11?

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

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

  14. sauravshakya
    • 2 years ago
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    Because prime numbers cannot be factored

  15. sauravshakya
    • 2 years ago
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    Here 10x2 + 11x + 3 is a number

  16. sauravshakya
    • 2 years ago
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    And x is constant

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