Question

Explain what are polynomials?

Answer 1

a group of terms with a variable and a constant

Answer 2

that's the simplest i can put it

Answer 3

Would you like to elaborate it? @lgbasallote

Answer 4

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

Answer 5

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.

Answer 6

can we call y=x^2 as polynomial

Answer 7

^that's an elaboration

Answer 8

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

Answer 9

that is a polynomial function

Answer 10

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

Answer 11

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.

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

The what about x^2.5 @lgbasallote

Answer 18

equations contain equal signs nuff said

Answer 19

2 has a degree of 1.

Answer 20

since it has a decimal point it is not @shahzadjalbani

Answer 21

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

Answer 22

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

Answer 23

@ParthKohli 2 has a degree of 0

Answer 24

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

Answer 25

I see but the highest power is 1.

Answer 26

*facepalm*

Answer 27

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

Answer 28

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

Answer 29

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

Answer 30

The degree of a (nonzero) constant term is 0

source http://en.wikipedia.org/wiki/Polynomial

Answer 31

Oopsie