chapter 5. polynomial operations

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Chapter 5

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Page 1: Chapter 5. Polynomial Operations

Chapter 5

Page 2: Chapter 5. Polynomial Operations

Polynomial Operations

and

Page 3: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify.1.

2. )

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Page 4: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify.1.

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Page 5: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify.

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Page 6: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify. 1.

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Page 7: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify.

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Page 8: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify.1.

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Page 9: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify.1.

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Page 10: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify.

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Page 11: Chapter 5. Polynomial Operations

Polynomial OperationsSimplify.

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Page 12: Chapter 5. Polynomial Operations

Polynomial Names1st Degree:

2nd Degree:

3rd Degree:

4th Degree:

5th Degree:

Linear

Quadratic

Cubic

Quartic

Quintic

Page 13: Chapter 5. Polynomial Operations

Name, Degree, Leading CoefficientState the name, degree, and leading coefficient of each polynomial.

1.

2.

3.

Page 14: Chapter 5. Polynomial Operations

Polynomial FunctionsFind and for each function.

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Page 15: Chapter 5. Polynomial Operations

Polynomial FunctionsFind and for each function.

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2.

Page 16: Chapter 5. Polynomial Operations

End BehaviorRemember to state LEFT and

RIGHT and include the .

Page 17: Chapter 5. Polynomial Operations

EVEN/ODDArrows together = EVEN

Arrows opposite = ODD

Page 18: Chapter 5. Polynomial Operations

Positive/NegativeBased on the RIGHT arrow!

Page 19: Chapter 5. Polynomial Operations

End BehaviorFor each graph,

• Describe the end behavior,• Determine whether it is a positive or a negative function,• Determine whether it is an even or an odd function, and • State the number of real zeros.

Page 20: Chapter 5. Polynomial Operations

End BehaviorFor each graph,

• Describe the end behavior,• Determine whether it is a positive or a negative function,• Determine whether it is an even or an odd function, and • State the number of real zeros.

Page 21: Chapter 5. Polynomial Operations

End BehaviorFor each graph,

• Describe the end behavior,• Determine whether it is a positive or a negative function,• Determine whether it is an even or an odd function, and • State the number of real zeros.

Page 22: Chapter 5. Polynomial Operations

Min/Max/Zeros Calc*Remember to use your calculator.

You must set the LEFT BOUND on the left side and the RIGHT BOUND on the right side and then hit [ENTER] to get the answer.

*Remember if you see an “E” your answer is a 0!

Page 23: Chapter 5. Polynomial Operations

Min/Max/Zeros CalcFind the real zeros.1.

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Page 24: Chapter 5. Polynomial Operations

Long DivisionUse long division to find each quotient.1.

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Page 25: Chapter 5. Polynomial Operations

Synthetic Division*Remember to CHANGE THE SIGN before you start dividing!

Page 26: Chapter 5. Polynomial Operations

Synthetic DivisionUse Synthetic Division to find each quotient.1.

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