Unit 1B - The Fundamental Theorem of Algebra
Lesson 1.12 - Polynomial Long Division
Learning Objectives: SWBAT
Lesson 1.12 - Polynomial Long Division
Learning Objectives: SWBAT
- Divide polynomials using long division and quantify any remainder with proper notation
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Lesson 1.12 - Polynomial Long Division |
Lesson 1.13 - Synthetic Division
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Divide polynomials using synthetic division and quantify any remainder with proper notation
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Lesson 1.13 - Synthetic Division |
Lesson 1.14 - The Remainder and Factor Theorems
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Use the Remainder Theorem to evaluate a polynomial for a given input value
- Use the Factor Theorem to determine whether or not a given linear binomial is a factor of a given larger polynomial
- Use the factor theorem and division to determine all real zeros of a polynomial.
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lesson 1.14 - the remainder and factor theorems |
Lesson 1.15 - The Rational Zero Test
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Use the Rational zero test to determine the possible rational zeros of a polynomial function
- Use the Rational zero test and division to determine all real zeros of a polynomial function
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Lesson 1.15 - The Rational Zero Test |
Lesson 1.16 - Complex number Operations
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Describe the difference between an imaginary and a complex number
- Add, Subtract and multiply complex numbers (including complex conjugates)
- Use complex conjugates to find the quotient of (divide) two complex numbers
- Perform multiple operations on complex numbers
- CLICK HERE for extra practice dividing complex numbers using conjugates
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Lesson 1.16 - Complex Number Operations |
Lesson 1.17 - The Fundemental theorem of Algebra (part 1)
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Use the Fundamental Theorem of Algebra to Determine real and complex zeros of a polynomial function in factored form and non-factored form
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lesson 1.17 - Fundamental theorem of algebra (part 1) |
Lesson 1.18 - The Fundemental theorem of Algebra (part 2)
Learning Objectives: SWBAT
Learning Objectives: SWBAT
- Use the Fundamental Theorem of Algebra to write the equation of a polynomial given real and/or complex zeros
- CLICK HERE for extra practice writing equations of a polynomial given a real/complex root (#7 - #20)
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Lesson 1.18 - Fundamental Theorem of Algebra (part 2) |
Lesson 1.19 - The Fundemental theorem of Algebra (part 3)
Learning Objectives: SWBAT
Videos:
Learning Objectives: SWBAT
- Given a complex zero of a polynomial, use the Fundamental Theorem of Algebra to determine all remaining zeros
Videos:
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Lesson 1.19 - Fundamental Theorem of Algebra (part 3) |