+ # Polynomials and Factoring Pathway

It's time to earn your higher degree!  By completing the Polynomials and Factoring pathway you will be able to recognize what a polynomial function is and how to work with Higher Degree Polynomials. You  should be able to recognize a polynomial function when you see one, determine the behavior of any polynomial, and graph that behavior. This knowledge will allow you to convey a great deal of information in many different fields such as medicine, aeronautics, and even car racing.

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### Concepts Covered

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• 1 Special Products Rule - Square of a Sum Try this one next!
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• 4 Introduction to Polynomials
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• 5 Types of Polynomials
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• 6 Degree in Polynomials
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• 7 Determining Degree in Polynomials
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• 8 Ordering Polynomial Expressions
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• 9 Factored and Expanded Polynomials
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• 10 Polynomial Roots
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• 11 Roots of Polynomial Factors
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• 12 Linear Factors of Polynomials
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• 13 Zeros and Their Multiplicities
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• 14 Expanding a Polynomial
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• 15 Higher Degree Polynomials
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• 16 The Leading Coefficient Test
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• 18 The Graph of a Polynomial Function
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• 19 Graphing Polynomial Functions
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• 21 Looking for Local Extrema
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• 22 Synthetic Division of Polynomials
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• 23 Synthetic Division and Linear Factors
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• 25 Finding Roots With The Remainder Theorem
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• 27 The Rational Roots Test
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• 28 Determining Rational Roots
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• 29 The Linear Factorization Theorem
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• 31 Decartes' Rule Of Signs
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• 32 Polynomial Inequalities
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• 33 Graphing Polynomial Inequalities
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• 34 Real World Polynomial Inequalities
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• 35 Combinations and Pascal's Triangle