anonymous
  • anonymous
Explain what are polynomials?
Mathematics
jamiebookeater
  • jamiebookeater
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lgbasallote
  • lgbasallote
a group of terms with a variable and a constant
lgbasallote
  • lgbasallote
that's the simplest i can put it
anonymous
  • anonymous
Would you like to elaborate it? @lgbasallote

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anonymous
  • anonymous
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
anonymous
  • anonymous
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.
anonymous
  • anonymous
can we call y=x^2 as polynomial
lgbasallote
  • lgbasallote
^that's an elaboration
anonymous
  • anonymous
x^2 is a polynomial. Polynomials are expressions, not equations
lgbasallote
  • lgbasallote
that is a polynomial function
ParthKohli
  • ParthKohli
Also, a negative power can't be a polynomial because then that includes division.
anonymous
  • anonymous
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.
lgbasallote
  • lgbasallote
what qualifies polynomials is that the degree MUST be a non-negative integer (i.e. 1, 2, 3, 4, 5)
anonymous
  • anonymous
Give me basic definations of expression ,equation and further more if you remeber? @nbouscal
anonymous
  • anonymous
0 is also okay for the degree because then it's the constant term :P
anonymous
  • anonymous
Expression doesn't have an =, equation does have an =
lgbasallote
  • lgbasallote
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
anonymous
  • anonymous
The what about x^2.5 @lgbasallote
lgbasallote
  • lgbasallote
equations contain equal signs nuff said
ParthKohli
  • ParthKohli
2 has a degree of 1.
lgbasallote
  • lgbasallote
since it has a decimal point it is not @shahzadjalbani
lgbasallote
  • lgbasallote
the degree has to be INTEGERS (non-negative)...which means whole numbers
anonymous
  • anonymous
the exponent has to be a natural number. A number in the set {0,1,2,...}. No fractions or decimals or negatives allowed
lgbasallote
  • lgbasallote
@ParthKohli 2 has a degree of 0
lgbasallote
  • lgbasallote
you look at the exponent of the variable...the exponent of the variable in 2 is 2x^0
ParthKohli
  • ParthKohli
I see but the highest power is 1.
lgbasallote
  • lgbasallote
*facepalm*
ParthKohli
  • ParthKohli
\( \color{Black}{\Rightarrow 2^1 \times x^0 }\)
anonymous
  • anonymous
Thank you all I got it .................!
ParthKohli
  • ParthKohli
\( \color{Black}{\Rightarrow x \ne 0 \text{ btw} }\)
lgbasallote
  • lgbasallote
The degree of a (nonzero) constant term is 0 source http://en.wikipedia.org/wiki/Polynomial
ParthKohli
  • ParthKohli
Oopsie

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