Warm UpSimplify.

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2. Solve using synthetic OR long division.

5.3 Polynomial FunctionsA polynomial is written in standard form when the values of the exponents are in descending order.

The degree of a polynomials is the value of the greatest exponent.

The coefficient of the variable with the greatest exponent is called the leading coefficient

5.3 Polynomial FunctionsA polynomial function is a continuous function that can be described by a polynomial equation in one variable. For example…

Polynomials Functions

Find and for each function.

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You Try!

Find and for each function.

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2.

ExamplesState the degree and leading coefficient of each polynomial.

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2.

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ZerosThe number of real zeros can be determined by looking at the graph.

Zeros are the x-intercepts.

Number of ZerosState the number of zeros.

ExamplesFor each graph, • Describe the end behavior,• Determine whether it represents a positive or a negative

function, and • State the number of real zeros.

ExamplesFor each graph, • Describe the end behavior,• Determine whether it represents a positive or a negative

function, and • State the number of real zeros.

ExamplesFor each graph, • Describe the end behavior,• Determine whether it represents a positive or a negative

function, and • State the number of real zeros.

ExamplesState the degree, leading coefficient, and end behavior of each polynomial.1.

2.

3.

4.

You Try!State the degree, leading coefficient, and end behavior of each polynomial.1.

2.

3.

4.