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“ARE YOU READY FOR THIS?”. 1. Classify this polynomial by degree: f(x) = 4x³ + 2x² - 3x + 7 a. binomial b. 4 term c. cubic d. quartic How do you know?

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Presentation on theme: "“ARE YOU READY FOR THIS?”. 1. Classify this polynomial by degree: f(x) = 4x³ + 2x² - 3x + 7 a. binomial b. 4 term c. cubic d. quartic How do you know?"— Presentation transcript:

1 “ARE YOU READY FOR THIS?”

2 1. Classify this polynomial by degree: f(x) = 4x³ + 2x² - 3x + 7 a. binomial b. 4 term c. cubic d. quartic How do you know?

3 2. Classify this polynomial by degree: f(x) =(x – 5i)(x + 5i) a. binomial b. quadratic c. cubic d. quartic How do you know?

4 3. Classify the polynomial by degree if it has the following zeros: { 7, 1 mult. 2, -2 } a. binomial b. 4 term c. cubic d. quartic How do you know?

5 4.Classify this polynomial by number of terms: f(x) = -2x³ + 2x² - 3x + 7 a. trinomial b. 4 term c. cubic d. binomial How do you know?

6 5. Put this polynomial in standard form: f(x) = -2x + 43 - 3x² + 7x ⁵ a. f(x) = -2x + 43 - 3x² + 7x ⁵ b. f(x) = 43 -2x + - 3x² + 7x ⁵ c. f(x) = - 3x² -2x + 7x ⁵ + 43 d. f(x) = 7x ⁵ - 3x² -2x + 43 How do you know?

7 6. Identify the leading coefficient of this polynomial: f(x) = -2x³ + 2x² - 3x + 7 a. 7 b. -2x c. -2 d. x How do you know?

8 7. Identify the leading coefficient of this polynomial: f(x) = -x² + 2x³ - 3x + 7 a. -1 b. 7 c. 2 d. x How do you know?

9 8. Identify the leading coefficient of this polynomial: f(x) = -x³ + 4x² - 3x + 7 a. 7 b. -x³ c. 4 d. -1 How do you know?

10 9. Identify the end behavior of this polynomial: f(x) = -x³ + 4x² - 3x + 7 a. x -> -∞, y -> +∞ x -> +∞, y -> -∞ b. x -> -∞, y -> +∞ x -> +∞, y -> +∞ c. x -> -∞, y -> -∞ x -> +∞, y -> -∞ d. x -> -∞, y -> -∞ x -> +∞, y -> +∞ How do you know the right side? How do you know the left side?

11 10. Write the polynomial function with these roots in factored form: { 3 mult. 2, -4i } a. f(x) = (x - 2)(x - 2)(x – 2)(x + 4i) b. f(x) = (x - 3)(x - 3)(x + 4i)(x – 4i) c. f(x) = (x + 3)(x + 3)(x + 4i)(x – 4i) d. f(x) = (x - 2)(x - 2)(x – 2)(x + 4i)(x – 4i) How do you know?

12 11. Write the polynomial function with these factors in standard form: (x – 2)(x + 1)(x – 1) a. f(x) = x³ - x² + x - 2 b. f(x) = x³ - x² + x + 2 c. f(x) = x³ - 2x² + x - 2 d. f(x) = x³ - 2x² - x + 2 How do you know?

13 12. Identify the y-intercept of this polynomial function: f(x) = 3x ⁵ - 2x³ + 17 a. 3 b. 5 c. There is no y-intercept d. 17 How do you know?

14 13. Identify the y-intercept of this polynomial function: f(x) = -6x ⁵ - 12x³ + 17x a. -6 b. 0 c. There is no y-intercept d. 17 How do you know?

15 14. Choose the correct way to set up a Synthetic Division of this polynomial: 3x ⁴ + 5x³ - 2x + 3 - x ⁵ x - 3 a. -3 3 5 -2 3 -1 b. -3 -1 3 5 0 -2 3 c. 3 3 5 -2 3 -1 d. 3 -1 3 5 0 -2 3Now solve it!

16 15. Evaluate f(4) if f(x) = 7x ⁴ + 5x³ - 2x + 3 - x ⁵ (Use synthetic division) a. f(4) = 2507 b. f(4) = 452 c. f(4) = 1083 d. f(4) = 2578 How do you know?

17 16. Use a graphing calculator to find the zeros of this polynomial function: f(x) = -4x³ + x² - 3 a. -3 b. -8 c. -.83 d. 5i How do you know?

18 17. Use a graphing calculator to find the relative extrema of this polynomial function: f(x) = -4x³ + x² - 3 a. relative maximum at (-1, -3) b. relative minimum and maximum at (.6, -3.6) c. relative maximum at (2, -4) d. relative minimum at (3, -.6) How do you know?

19 18. Use a graphing calculator to find the y value of this polynomial function where x = 5: f(x) = -4x³ + x² - 3 a. -3 b. -478 c. -5 d. 3 How do you know?

20 19. How many roots does this polynomial have? f(x) = 56x ⁴ - 12x³ + 4x² - 3x + 1 a. 56 b. 1 c. 4 d. 5 How do you know?

21 20. What are the possible rational roots of this polynomial? f(x) = 6x ⁴ - 12x³ + 4x² - 3x + 8 a. { ±8, ±6} b. {± 1, ± 2, ±4, ± 8, ±1/6, ±1/2, ±1/3, ±2/3, ±4/3, ±8/3} c. {± 1, ± 2, ±4, ± 6,± 8} d. {1, 2, 4, 8, 1/6, 1/2, 1/3, 2/3, 4/3, 8/3} How do you know?

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