1. Chapter 2 Quiz

2. What you need to know Chapter 2.1 – 2.3 1.The properties of a monomial function 2.Properties of negative exponents 3.Properties of rational exponents 4.Ability to solve a radical equation 5.Solve for the zeros of a polynomial function 6.Know the basic properties of a polynomial function 7.Ability to solve a long division problem 8.Ability to verify a factor using synthetic division

3. Format Thursday December 9th 10 – 15 multiple choice questions 6 – 8 open ended questions

4. Identify properties of a polynomial function Which of the following graphs is not a polynomial function?

5. Properties of a polynomial -x 34 + 400x 23 – 7x 2 + 400x + 3,000 What is the degree? 34 What is the coefficient?

6. Analyze monomial functions Graph and analyze 3x 6 a.Domain (-∞,∞) b. Range (0, ∞) c. Intercept (0,0) d. Symmetry – along the y axis e.Continuous yes f. Increasing/decreasing -, +

7. Analyze negative exponents Graph and analyze 3x -2 a.Domain (-∞,0),(0,∞) b. Range (0, ∞) c. Intercept None d. Symmetry – not applicable e.Continuous no f. Increasing/decreasing +, +

8. Solve Radical Equations 1.3x = 3 + √18x – 18 2.3x – 3 = √18x – 18 Subtract 3 from both sides 3.9x 2 – 18x + 9 = 18x – 18 square both sides 4.9x 2 – 36x + 27 = 0 subtract 18x, add 18 5.(3x – 9)(3x – 3) = 0 factor 6.3x – 3 = 0 →x = 1, 3x – 9 = 0 →x = 3 7.Verify 3(1) = 3 +√18(1) – 18 →3 = 3 yeah 3(3) = 3 +√18(3) – 18 → 9 = 9 yeah

9. What are the zeros of the polynomial X 4 – 9x 2 + 18 1.How many potential zeros? 4 2. How many potential bends? 3 3. How many zeros are listed on your calculator? 0 or unable to identify 4.What are the zeros? ±√3 ±√6

10. Long division X 3 + 2x 2 – 21x + 18; x – 3 x 2 + 5x - 6 x – 3 x 3 + 2x 2 – 21x + 18 x3 – 3x 2 5x 2 – 21x 5x 2 – 15x -6x + 18 Factor x 2 + 5x – 6 → (x + 6)(x -1)(x – 3)

11. Synthetic Division Determine whether x + 3 is a factor X 4 – 2x 3 – 9x 2 + x + 6 1.Solve for x: x + 3 = 0; x = -3 -31-2-916 -315-1851 (noooh 1-56-17