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shahzadjalbani

Explain what are polynomials?

  • one year ago
  • one year ago

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  1. lgbasallote
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    a group of terms with a variable and a constant

    • one year ago
  2. lgbasallote
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    that's the simplest i can put it

    • one year ago
  3. shahzadjalbani
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    Would you like to elaborate it? @lgbasallote

    • one year ago
  4. nbouscal
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    A polynomial is an expression that consists only of the addition, subtraction, and multiplication of non-negative integer exponents of variables and constants. They look like: x^2+2x+1, or x-50, or x^5+x^4+x^3+x^2+x+1

    • one year ago
  5. nbouscal
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    So, you can't have 1/x as a term, for example. You can't have x^2/3 as a term either. But you can have x taken to any natural number power.

    • one year ago
  6. shahzadjalbani
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    can we call y=x^2 as polynomial

    • one year ago
  7. lgbasallote
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    ^that's an elaboration

    • one year ago
  8. nbouscal
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    x^2 is a polynomial. Polynomials are expressions, not equations

    • one year ago
  9. lgbasallote
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    that is a polynomial function

    • one year ago
  10. ParthKohli
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    Also, a negative power can't be a polynomial because then that includes division.

    • one year ago
  11. nbouscal
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    Generally we name them after the number of terms they have, also. So if it is x+1, it's a binomial. x^2+x+1 is a trinomial. More than three terms is a polynomial.

    • one year ago
  12. lgbasallote
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    what qualifies polynomials is that the degree MUST be a non-negative integer (i.e. 1, 2, 3, 4, 5)

    • one year ago
  13. shahzadjalbani
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    Give me basic definations of expression ,equation and further more if you remeber? @nbouscal

    • one year ago
  14. nbouscal
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    0 is also okay for the degree because then it's the constant term :P

    • one year ago
  15. nbouscal
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    Expression doesn't have an =, equation does have an =

    • one year ago
  16. lgbasallote
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    so 2 is a polynomial...it has a degree of zero x is a polynomial with degree 1 x^2 is polynomial with dgree 2 and so on

    • one year ago
  17. shahzadjalbani
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    The what about x^2.5 @lgbasallote

    • one year ago
  18. lgbasallote
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    equations contain equal signs nuff said

    • one year ago
  19. ParthKohli
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    2 has a degree of 1.

    • one year ago
  20. lgbasallote
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    since it has a decimal point it is not @shahzadjalbani

    • one year ago
  21. lgbasallote
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    the degree has to be INTEGERS (non-negative)...which means whole numbers

    • one year ago
  22. nbouscal
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    the exponent has to be a natural number. A number in the set {0,1,2,...}. No fractions or decimals or negatives allowed

    • one year ago
  23. lgbasallote
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    @ParthKohli 2 has a degree of 0

    • one year ago
  24. lgbasallote
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    you look at the exponent of the variable...the exponent of the variable in 2 is 2x^0

    • one year ago
  25. ParthKohli
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    I see but the highest power is 1.

    • one year ago
  26. lgbasallote
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    *facepalm*

    • one year ago
  27. ParthKohli
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    \( \color{Black}{\Rightarrow 2^1 \times x^0 }\)

    • one year ago
  28. shahzadjalbani
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    Thank you all I got it .................!

    • one year ago
  29. ParthKohli
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    \( \color{Black}{\Rightarrow x \ne 0 \text{ btw} }\)

    • one year ago
  30. lgbasallote
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    The degree of a (nonzero) constant term is 0 source http://en.wikipedia.org/wiki/Polynomial

    • one year ago
  31. ParthKohli
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    Oopsie

    • one year ago
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