Explain what are polynomials?

- anonymous

Explain what are polynomials?

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- lgbasallote

a group of terms with a variable and a constant

- lgbasallote

that's the simplest i can put it

- anonymous

Would you like to elaborate it? @lgbasallote

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## More answers

- 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

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

can we call y=x^2 as polynomial

- lgbasallote

^that's an elaboration

- anonymous

x^2 is a polynomial. Polynomials are expressions, not equations

- lgbasallote

that is a polynomial function

- ParthKohli

Also, a negative power can't be a polynomial because then that includes division.

- 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

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

- anonymous

Give me basic definations of expression ,equation and further more if you remeber? @nbouscal

- anonymous

0 is also okay for the degree because then it's the constant term :P

- anonymous

Expression doesn't have an =, equation does have an =

- 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

The what about x^2.5 @lgbasallote

- lgbasallote

equations contain equal signs nuff said

- ParthKohli

2 has a degree of 1.

- lgbasallote

since it has a decimal point it is not @shahzadjalbani

- lgbasallote

the degree has to be INTEGERS (non-negative)...which means whole numbers

- 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

@ParthKohli 2 has a degree of 0

- lgbasallote

you look at the exponent of the variable...the exponent of the variable in 2 is 2x^0

- ParthKohli

I see but the highest power is 1.

- lgbasallote

*facepalm*

- ParthKohli

\( \color{Black}{\Rightarrow 2^1 \times x^0 }\)

- anonymous

Thank you all I got it .................!

- ParthKohli

\( \color{Black}{\Rightarrow x \ne 0 \text{ btw} }\)

- lgbasallote

The degree of a (nonzero) constant term is 0
source http://en.wikipedia.org/wiki/Polynomial

- ParthKohli

Oopsie

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