What is a polynomial function?  Polynomial Functions
What is a polynomial function?
Lessons
Notes:
A polynomial function is a function in the form:
$\bullet$leading coefficient: "${a_n}$", the coefficient of the highest power of x
$\bullet$constant term: "${a_0}$", the term without $x$
$\bullet$degree of the polynomial function: $n$, the highest power of $x$

a)
What is a polynomial function?

b)
Exercise:
State the degree, leading coefficient and constant term for the following polynomial functions:
1) $f(x) = 9x^{5}+7x^{4}2x^{3}12x^{2}+x10$
2) $p(x) = 23x^{18}+37x^{15}11x^{58}+6$


2.
Recognizing a Polynomial Function
Which of the following are not polynomial functions? Explain.

a)
monomial and cubic

b)
binomial and linear

c)
trinomial and quartic
