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Math 105: Precalculus Algebra14 chapters | 124 lessons | 12 flashcard sets

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Learn how to find the number of solutions in a polynomial function with this helpful, easy-to-understand worksheet and quiz set focused on the fundamental theorem of algebra. Our quiz will gauge your ability to solve problems involving polynomial functions and graphs illustrating a function's solutions.

These materials on the fundamental theorem of algebra will teach you how to:

- Define the fundamental theorem and the term complex solutions
- Find the number of solutions for a polynomial function
- Graph polynomial functions
- Determine when a function has repeated solutions
- Identify when conjugate pairs are present in a function

Use the following skills when working with these assets:

**Problem solving**- use acquired knowledge to solve polynomial function practice problems**Interpreting information**- verify that you can read information regarding imaginary numbers and interpret it correctly**Making connections**- use understanding of the concept of complex solutions**Critical thinking**- apply relevant concepts to examine information about the fundamental theorem of algebra in a different light

Our attached lesson, Fundamental Theorem of Algebra: Explanation and Example, will teach you to:

- State the fundamental theorem of algebra and explain its purpose
- Determine the number of solutions in a polynomial function
- Differentiate real numbers from complex numbers
- Explain why polynomial functions with real coefficients have imaginary solutions that always occur in conjugate pairs
- Interpret graphs of polynomial functions

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Lesson
8 in chapter 5 of the course:

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Math 105: Precalculus Algebra14 chapters | 124 lessons | 12 flashcard sets

- How to Add, Subtract and Multiply Polynomials 6:53
- Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples 8:38
- How to Divide Polynomials with Long Division 8:05
- How to Use Synthetic Division to Divide Polynomials 6:51
- Remainder Theorem & Factor Theorem: Definition & Examples 7:00
- Dividing Polynomials with Long and Synthetic Division: Practice Problems 10:11
- Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division 8:45
- Fundamental Theorem of Algebra: Explanation and Example 7:39
- Go to Polynomial Functions of a Higher Degree

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