Given the polynomial f=x^4+x^3+x^2+x+1 calculate f(1), f(-1)

Each time when we have to determine the value of a
polynomial, for a specific value of x, we'll have to substitute x by the given value, in
the expression of the polynomial.

To calculate the values
of the function for x = 1 and x = -1, we'll have to substitute x by 1 and by 01 in the
expression of the function.

f( 1 ) = 1^4 + 1^3 + 1^2 + 1 +
1

f(1) =
5

f(-1) = ( -1 )^4 + ( - 1 )^3 + (-1 )^2 + (
- 1) + 1

f(-1) = 1 - 1+ 1 -1 +
1

We'll eliminate like
terms:

f(-1) =
1