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Exam Time

Prepare for the upcoming Quarterly Exam by reviewing polynomial factoring, zeros, and graphing. Practice key features and solving equations. Understand nth roots and exponentiation.

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Exam Time

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  1. Exam Time • The Quarterly 2 Exam is Monday 2/1/16

  2. What to Review • A large portion of the QM 2 Questions come from Chapter 4 and 5 • Notes • Quizzes • Tests

  3. Algebra II QM 2 Review

  4. Given polynomial f(x) and a factor of f(x), factor f(x) completely.

  5. Given polynomial f(x) and a zero of f(x), factor f(x) completely and find all the zeros

  6. Factor f(x) completely and find all the zeros

  7. Make a rough sketch of the polynomial function f(x) = x3 + x2 – 9x – 9

  8. What are the x-intercepts?

  9. Solve the equation. Check your solution. 9.) 10.)

  10. Describe each of the following key features of the graph of . Part A: Where does the graph intersect the x-axis? Part B: Where does the graph intersect the y-axis? Part C: Describe the end behavior. Part D: make a rough sketch of the function. Part E: Is the value of f positive or negative for 2<x<3? Part F: Is the graph increasing or decreasing when x>5?

  11. The graph of the fourth-degree polynomial function f(x) is shown in the coordinate plane. Based on the graph, list all linear factors of f(x).

  12. Which of the following is equivalent to ? a. b. c. d.

  13. #14: Chapter 5 • Given that the factored form of a polynomial function is f(x) = (x + a)(x – b)(x + c)(c – d), where a, b, c, and d are positive numbers, describe the graph of the function in the coordinate plane including intercepts and end behavior.

  14. #19: Section 6.2 • When the nth root of a positive number a is written as , what is the value of x ? Fill in the blanks in the partial solution below to explain your answer.

  15. #20: Section 6.2 • Rewrite the expression as a power of 3.

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