A constant polynomial is a type of polynomial that contains only a constant term, which means it does not have any variables. The general form of a constant polynomial is given by the expression:
f(x) = c
Where "c" is a constant number. For example, the polynomial f(x) = 5 is a constant polynomial because it only contains the constant term 5.
Constants polynomials have a degree of 0 because there are no variables and therefore no exponents. The degree of a polynomial is the highest power of the variable in the polynomial. Since there are no variables in a constant polynomial, its degree is 0.
Here are some examples of constant polynomials:
These polynomials all have a degree of 0 because they only contain a constant term.
Now, let's look at some key points to remember about constant polynomials: