Name: Ch. 5 Part 1 Quiz Review Sheet 1. Simplify. a) (x – 7)2 b) (x – 7)3 2. (-2x3y2)5 3x 4 45x 2 y 3. (3x) 4 xy 3 4. (x3 + 7x2) – (6x3 – 1) 5. Factor. x4 + 4x2 - 5 6. Factor. 8m3 + 27 7. Factor. 5m3 + 2m2 – 45m – 18 8. What are the solutions of x4 – 13x2 + 36 = 0? 9. Describe the endbehavior of y = x4 + 8x2 + 3. 10. Why is (y + 8)3 NOT equivalent to y3+ 512? 11. What is the lowest degree of the function in the graph? 12. Analyze the graph below. As x +, f(x) ______ As x - , f(x) ______ y-intercept: x-intercepts/zeroes: How many turning points? Relative maximum(s): Relative minimum(s): # of turning points: ______ Lowest degree: _____ 13. Multiply (x + 4) (x4 + 3x2 – 5x + 2) 16. Divide Using Long Division. (2x3 + x2 -8x + 5) ÷ (x + 3) 14. Factor x4 – 8x2 – 9 17. Divide Using Synthetic Division. 15. In the function f(x) = -3x3 + 2x – 1, (X3 + 5x2 – 7x + 2) ÷ (x – 2) What is the degree? How many turning points? What is the end behavior? (Even or odd? Positive or negative?) Sections covered in quiz: 5.1 – Exponents 5.3 – Polynomial operations (add, subtract, multiply) 5.2 – End behavior 5.4 – Factoring 5.5 – Long Division and Synthetic Division *Study your notes, examples, homework worksheets, and practice activities!!