The identification of the Polynomial functions ?

[honest_denverco09]

I am confusing about how can we identify whether the function is in the polynomial form or not.
For example i have : x^5 - 1 and 25 . Are they the polynomial functions and i need to be explained ?
Please help me !Thanks!

[stapel_eliz]

I am confusing about how can we identify whether the function is in the polynomial form or not. For example i have : x^5 - 1 and 25 .

To learn what polynomials are (along with their names and various other definitions), try this online lesson.

Long story short: If the function consists of "terms" (bits that are added together) in which the variables have only whole-number powers (so no square roots, no absolute-value bars, no other functions like logs or cosines, etc) and the variables are only in the numerator (so no "3/x" sorts of terms), then you're looking at a polynomial.

[honest_denverco09]

I got it. Thank you so much! . But i just want to ask 1 question about the polynomial :

Is any number like 25, 2, 4, the polynomial function, and if so, what is the degree of these? Is that a "0" ? Thank again !

Also i would like to ask "What is the real number and how can we know it ?"

Thanks!

[stapel_eliz]

Constant terms like "5" can be stated as "5x⁰", since anything to the zero power is just "1". So constants are terms, and they are of degree zero.

I don't know your context, but you can figure out the answer for real numbers in this lesson on number types and how to recognize which is which.

[honest_denverco09]

tHANK you so much! You and this web are very helpful! ^^!Thank so much