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+ # CSU Performing Operations with Polynomials and Quadratics

In this pathway, you will learn how to apply mathematical concepts to algebraic expressions and quadratic equations.

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### Unit 1 - Polynomials & Polynomial operations

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• 1.1 Monomials Try this one next!
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• 1.2 Introduction to Polynomials
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• 1.3 Determining Degree in Monomials
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• 1.4 Determining Degree in Polynomials
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• 1.5 Ordering Polynomial Expressions
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• 1.6 Adding and Subtracting Monomials
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• 1.7 Adding and Subtracting Polynomials
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• 1.11 Multiplying Monomials and Polynomials
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• 1.12 Multiplying Polynomials
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• 1.13 Polynomials Divided by Monomials
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• 1.14 Synthetic Division of Polynomials

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### Unit 4 - Quadratics & Quadratic Factoring

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• 4.1 Introduction to Quadratic Equations
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• 4.2 Quadratic Roots
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• 4.3 Factoring Quadratic Equations
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• 4.4 Basic Quadratic Factoring
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• 4.5 Quadratics with no Constant
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• 4.6 Quadratics with no Bx Term
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• 4.7 Prime Quadratics
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• 4.8 Factoring Quadratics with Coefficients
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• 4.9 Sign in Quadratic Factoring
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• 4.10 Factoring Positive A and C
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• 4.11 Factoring Negative C
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• 4.12 Factoring Negative A
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• 4.13 Factoring Negative A and C
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• 4.15 Finding the Zero of a Factor
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• 4.17 The Quadratic Formula
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• 4.18 Using the Quadratic Formula
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• 4.19 Completing the Square
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• 4.21 Quadratic Equations in the Real World

### Unit 5 - Quadratic Inequality

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• 5.1 Quadratic Inequalities
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• 5.2 Solutions of Quadratic Inequalities

### Unit 6 - Complex Numbers

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• 6.1 Complex Numbers
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• 6.2 Dividing Complex Numbers
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• 6.3 Multiplying Complex Numbers

### Unit 7 - Solving Polynomial Equations, Degree > 2

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• 7.1 Polynomial Roots
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• 7.2 Roots of Polynomial Factors
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• 7.3 Linear Factors of Polynomials
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• 7.4 Zeros and Their Multiplicities

### Unit 8 - Graphing Polynomials > Degree 2

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• 8.1 Higher Degree Polynomials
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• 8.2 The Graph of a Polynomial Function
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• 8.3 Graphing Polynomial Functions
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• 8.5 Looking for Local Extrema

### Unit 9 - Solving Higher Degree Polynomial Inequalities

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• 9.1 Polynomial Inequalities
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• 9.2 Real World Polynomial Inequalities