Algebra 2 5.1 Class Notes
- 1. Polynomial Functions Section 5.1
- 2. The degree of a polynomial is the greatest exponent of the variable.
- 3. The degree of a polynomial is the greatest exponent of the variable.
- 4. The degree of a polynomial is the greatest exponent of the variable. 1
- 5. The degree of a polynomial is the greatest exponent of the variable. 1 Degree Name of polynomial 0 Constant 1 Linear 2 Quadratic 3 Cubic 4 Quartic 5 Quintic
- 6. The degree of a polynomial is the greatest exponent of the variable. 1 quadratic Degree Name of polynomial 0 Constant 1 Linear 2 Quadratic 3 Cubic 4 Quartic 5 Quintic
- 9. 1
- 10. Signs in front of terms go with the term. 1
- 11. Signs in front of terms go with the term. 1
- 12. Signs in front of terms go with the term. 1
- 13. Signs in front of terms go with the term. 1
- 14. Signs in front of terms go with the term. 1
- 15. Signs in front of terms go with the term. 1
- 16. Write each polynomial in standard form. Then classify it by degree and state the leading coefficient. 1. 4 x 3 3 + 2 x 2 4. 8 x 5 + 9 x 2 2 x 3. 6 x + 2 x 4 2 2. 3 + 24 x 2 5. -13 + x 6. 8
- 17. Write each polynomial in standard form. Then classify it by degree and state the leading coefficient. 1. 4 x 3 3 + 2 x 2 4. 8 x 5 + 9 x 2 2 x 3. 6 x + 2 x 4 2 2. 3 + 24 x 2 5. -13 + x 6. 8 4 x 3 + 2 x 2 3 Cubic L.C. 4
- 18. Write each polynomial in standard form. Then classify it by degree and state the leading coefficient. 1. 4 x 3 3 + 2 x 2 4. 8 x 5 + 9 x 2 2 x 3. 6 x + 2 x 4 2 2. 3 + 24 x 2 5. -13 + x 6. 8 4 x 3 + 2 x 2 3 Cubic L.C. 4 24 x 2 + 3 Quadratic L.C. 24 2 x 4 + 6 x 2 Quartic L.C. 2 x 5 + 9 x 2 2 x + 8 Quintic L.C. -1 x – 13 Linear L.C. 1 8 Constant L.C. None
- 19. Graph each function using the domain x = -2, -1, 0, 1, 2, 3. x y -2 -1 0 1 2 3
- 20. Graph each function using the domain x = -2, -1, 0, 1, 2, 3. x y -2 -2 -1 2 0 0 1 -2 2 2 3 18
- 21. Graph each function using the domain x = -2, -1, 0, 1, 2, 3. x y -2 -2 -1 2 0 0 1 -2 2 2 3 18
- 22. Graph each function using the domain x = -2, -1, 0, 1, 2, 3. x y -2 -2 -1 2 0 0 1 -2 2 2 3 18
- 23. Graph each function using the domain x = -2, -1, 0, 1, 2, 3. x y -2 -1 0 1 2 3
- 24. Graph each function using the domain x = -2, -1, 0, 1, 2, 3. x y -2 30 -1 -1 0 0 1 3 2 2 3 15
- 25. Graph each function using the domain x = -2, -1, 0, 1, 2, 3. x y -2 30 -1 -1 0 0 1 3 2 2 3 15
- 26. Graph each function using the domain x = -2, -1, 0, 1, 2, 3. x y -2 30 -1 -1 0 0 1 3 2 2 3 15
- 27. End behavior of a polynomial function can be found by looking at the leading coefficient and the degree. Down, Up Up, Down
- 28. End behavior of a polynomial function can be found by looking at the leading coefficient and the degree. Up, Up Down, Down
- 29. Predict the end behavior of each polynomial function. 1. 2. 3. 4. ex.
- 30. Predict the end behavior of each polynomial function. 1. 2. 3. 4. ex. Degree is even so ends go in same direction. Leading coefficient is negative so the right is down . End behavior is Down, Down
- 31. Predict the end behavior of each polynomial function. 1. 2. 3. 4. ex. Degree is even so ends go in same direction. Leading coefficient is negative so the right is down . End behavior is Down, Down Down, Up Down, Down Up, Down Up, Up
- 32. Predict the end behavior of each polynomial function. 1. 2. 3. 4. ex. Degree is even so ends go in same direction. Leading coefficient is negative so the right is down . End behavior is Down, Down Down, Up Down, Down Up, Down Up, Up