Chapter 4 Summary and Review
Study Guide
KEY TERMS AND CONCEPTS  EXAMPLE  

SECTION 4.1: POLYNOMIAL FUNCTIONS AND MODELS  
Polynomial Function $$\begin{array}{rcl}P(x)& =& {a}_{n\text{}}{x}^{n}+{a}_{n1}{x}^{n1}+{a}_{n2}{x}^{n2}\\ +\cdots +{a}_{1}x+{a}_{0},\end{array}$$
where the coefficients ${a}_{n},{\text{a}}_{n1},\text{}\dots ,{\text{a}}_{1},{\text{a}}_{0}$ are real numbers and the exponents are whole numbers. The first nonzero coefficient, ${a}_{n}$, is called the leading coefficient. The term ${a}_{n\text{}}{x}^{n}$ is called the leading term. The degree of the polynomial function is n. Classifying polynomial functions by degree:

Consider the polynomial $$P(x)=\frac{1}{3}{x}^{2}+x4{x}^{5}+2.$$
Classify the following polynomial functions:

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