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Warm-Up 2/24

Warm-Up 2/24. 1. . 12. 6. 6. B. Rigor: You will learn how to divide polynomials and use the Remainder and Factor Theorems. Relevance: You will be able to use graphs and equations of polynomial functions to solve real world problems. . 2-3 The Remainder and Factor Theorems.

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Warm-Up 2/24

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  1. Warm-Up 2/24 1. 12 6 6 B

  2. Rigor:You will learn how to divide polynomials and use the Remainder and Factor Theorems. Relevance:You will be able to use graphs and equations of polynomial functions to solve real world problems.

  3. 2-3 The Remainder and Factor Theorems

  4. Example 1: Use long division to factor polynomial. So there are real zeros at x = 3, , and .

  5. Example 2: Divide the polynomial.

  6. Example 3: Divide the polynomial.

  7. Example 4a: Divide the polynomial using synthetic division. – 2 0 – 5 5 – 2 2 2 – 4 8 – 6 ↓ – 1 2 – 4 3 0

  8. Example 4b: Divide the polynomial using synthetic division. 5 – 7 6 ↓ – 1 5 1 4

  9. Example 6a: Use the Factor Theorem to determine if the binomials are factors of f(x). Write f(x) in factor form if possible. 1 – 3 21 25 – 5 21 25 – 5 3 3 4 4 45 – 3 4 25 50 – 12 – 27 6 ↓ ↓ 45 1 4 25 50 4 9 – 2 48 0 , so is not a factor. , so is a factor.

  10. Example 6b: Use the Factor Theorem to determine if the binomials are factors of f(x). Write f(x) in factor form if possible. – 4 – 1 – 41 – 20 2 36 – 8 20 ↓ , so is a factor. 0 2 – 9 – 5 5 – 9 – 5 2 5 10 ↓ , so is a factor. 2 1 0

  11. math! • 2-3 Assignment: TX p115, 4-44 EOE

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