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help_people

  • one year ago

Which polynomial is a difference of two squares? x2 − 16 x2 + 16 x2 − 8 x2 + 8

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  1. help_people
    • one year ago
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    @amistre64 @Mehek14

  2. dinamix
    • one year ago
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    its first one

  3. Jhannybean
    • one year ago
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    According to what we know about polynominals, let's say we take \(x=a\) and \(4 =b\) Then we can take our form, \(a^2-b^2\) to write out our function as \((x)^2-(4)^2\) which simplifies to.....?

  4. dinamix
    • one year ago
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    \[x^2-16 = (x-4)(x+4)\]@help_people and \[x^2-8 = (x-\sqrt{8})(x+\sqrt{8})\]

  5. help_people
    • one year ago
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    ok @Jhannybean and @dinamix I know the answer but could you explain more for osme reason i do not get it

  6. zzr0ck3r
    • one year ago
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    @help_people You re looking for the form \(a^2-b^2\) and the things is, when it is a variable, we can have it be \(x^2\) so its the other part we are concerned with. So since we need a \(-\) sign, we can rule out options 2 and 4. Ok so what is the problem with \(x^2-8\) Well in order for it to be a perfect square, we need the thing after the \(-\) sign to be written as \(b^2\) where \(b\) is a INTEGER. \(\sqrt{8}\) is not an integer, but \(\sqrt{16}=4\) is.

  7. zzr0ck3r
    • one year ago
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    so we have \(x^2-16=x^2-4^2\)

  8. help_people
    • one year ago
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    ok

  9. dinamix
    • one year ago
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    @help_people u study number complexe , @zzr0ck3r

  10. dinamix
    • one year ago
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    not you i am sopke with him , i ask if study it

  11. zzr0ck3r
    • one year ago
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    I am not sure what you are asking. I am good in certain area dealing with complex numbers, but not the traditional. There are much better people here for that.

  12. Jhannybean
    • one year ago
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    I really like your explanation here, @zzr0ck3r

  13. zzr0ck3r
    • one year ago
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    hi @Jhannybean

  14. zzr0ck3r
    • one year ago
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    ty :)

  15. dinamix
    • one year ago
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    @zzr0ck3r i hope know how to explain like u

  16. zzr0ck3r
    • one year ago
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    often my problem is over explaining. I have to learn to say only the things that are important. Some stuff I said up there is not 100% correct, but if I say it 100% correct often I would confuse everyone.

  17. help_people
    • one year ago
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    ok thank you for everthing :/ @zzr0ck3r XOXO to all

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