# Degree of a polynomial function

• Jul 28th 2011, 08:05 AM
Bashyboy
Degree of a polynomial function
In my textbook it indelibly states that f(x)=a, where a cannot equal 0, is a zero degree function. How can that be so? Shouldn't it be a first degree polynomial function, because if it weren't, wouldn't a always be zero then?
• Jul 28th 2011, 08:08 AM
Siron
Re: Degree of a polynomial function
Because you can write:
$f(x)=a=a\cdot 1=a\cdot x^{0}$
So definitely a zero degree polynomial function.
• Jul 28th 2011, 08:09 AM
anonimnystefy
Re: Degree of a polynomial function
hi bashyboy

actually when you have a n-th degree polynomial then it means that the maximum exponent of x in that polynomial is n.so if you have a zero degree polynomial than it means that the maximum exponent of x is 0 which means that your polynomial looks ike this:
P(x)=a*x^0
and any number to the power of zero is 1 so:
P(x)=a*1
P(x)=a