Question

How do i know if a function is a polynomial?
part of my homework. how exactly do you tell if it is a polynomial or not?

f(x)=8-6x

and if it is, what if the degree of the binomial?

Answer 1

if its a poly, all the exponents will be positive, and there wont be any denominator going on

Answer 2

\[P(x)=c_0+c_1x+c_2x^2+c_3x^3+...+c^nx^n\]

Answer 3

the degree is the highest exponential value

Answer 4

would 6x be degree 1?

Answer 5

yes

Answer 6

Thank you.

Answer 7

youre welcome :)

Answer 8

but I am guessing it's not seeing how there is a negative in the equation

Answer 9

is the negative a part of the exponent? the power?

Answer 10

Um.. well 8-6x, the exponent?

Answer 11

It is a polynomial when there is four terms @Virgo91684

Answer 12

8-6x can be written in what is called "standard form" as:\[P(x)=-6x+8\]
they like to have it in descending order of powers

Answer 13

The degree of the binomial is linear meaning first degree @Virgo91684

Answer 14

\[P(x)=-6x+8\]follows the polynomail pattern\[P_1(x)=c_1x+c_0\]

Answer 15

Here is something that I remembered
Degree Name
Zero=Constant
One=Linear
Two=Quadratic
Three=Cubic
Four=Quartic
Five=Quintic
Six or more=6th degree, 7th degree, and so on
@Virgo91684

Answer 16

This first chart is for when identifying degrees of polynomials. This second chart that I am going to post is for when identifying the number of terms. @Virgo91684

Answer 17

Terms Name
One=Monomial
Two=Binomial
Three=Trinomial
Four or more=Polynomial
@Virgo91684