1. Question and Answer Samples and Techniques

2. Simplify the expression: (x 4 y -2 )(x -3 y 8 )

4. Simplify the expression: x 3 y 7 x -4 y 0

5. Simplify the expression:

6. Use synthetic substitution to evaluate the polynomial: f(x) = 5x 3 + 3x 2 –x + 7; x = 2

7. Use Synthetic Substitution to evaluate the polynomial function: g(x) = -2x 4 – x 3 + 4x – 5; x = -1

8. Perform the indicated operation: (x 3 + x 2 – 6) – (2x 2 + 4x – 8)

9. Decide whether the function is a polynomial function. If it is, state the degree and leading coefficient x 3 + x 2 – 6x -1

10. Decide whether the function is a polynomial function. If it is, state the degree and leading coefficient -2x 5 + x 4 – 1/3x

11. Perform the indicated operation: (-3x 2 + 4x – 10) + (x 2 – 9x + 15)

12. Perform the indicated operation: (x - 5)(x 2 – 5x + 7)

13. Perform the indicated operation: (x + 3)(x – 6)(3x - 1)

14. Describe the end behavior of the graph of the polynomial function by completing the statements: f(x) = x 4 – 18x 2 + 21 f(x)  ____ as x  -∞ and f(x)  _____ as x  +∞

15. Describe the end behavior of the graph of the polynomial function by completing the statements: f(x) = -x 3 – 22x 2 + 3 f(x)  ____ as x  -∞ and f(x)  _____ as x  +∞

16. Practice Factoring: x 2 + 2x - 15

17. Graph using a table: f(x) = x 3 –x 2 + 3

18. Graph using a table: f(x) = -x 4 + 5

19. Practice Factoring: x 2 + 8x + 12

20. Factor: y 3 – 4y 2 – 12y

21. Factor: 2y 5 – 18y 3

22. Factor: 3x 3 + 30x 2 + 75x

23. Factor: 4x 4 – 16x 3 + 16x 2

24. Factor: 5g 5 - 80g 3

25. Assignment Come get help if you do not understand. We will have a quiz tomorrow 5.1 – 5.3 information only