3. Perms & Combs Define This Roots & Zeros Divide and Factor Name That Function 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 50 Final 40

4. A monomial that is not involved with a variable is called this. Constant Name That Function – 10 Points

5. Classify the Following Polynomial: x 2 +2-6x 3 +x-x 5 5 th Degree Polynomial Name That Function – 20 Points

6. Classify the Following Polynomial: x 2 (x+2)(x-3) x 4 -x 3 -6x 2 4 th Degree Polynomial Name That Function – 30 Points

7. This polynomial has zeros at x = 0, 2 w/a mult of two, -3i, +3i, & -3 w/a mult of two. What is the Degree of this Polynomial? 7 th Degree Polynomial Name That Function – 40 Points

8. Classify the Following Polynomial: (a-b) 4 What is the degree & how many terms are? 4 th Degree Polynomial with 5 terms. One more than ‘n’. Name That Function – 50 Points

9. (x 2 +2x+6)÷(x+2) The binomial (x+2) in this division problem is called The Divisor Divide and Factor – 10 Points

10. Find the Quotient (x 2 +2x+6)÷(x+2)= (x+ 6/(x+2)) Divide and Factor – 20 Points

11. Find the Quotient (4x 3 +3x 2 +2x)÷(x+3)= 4x 2 -9x+29-(87/(x+3)) Divide and Factor – 30 Points

12. Find the Quotient (4x 3 +2x+1)÷(x 2 -3)= 4x+((14x+1)/(x 2 -3)) Divide and Factor – 40 Points

13. Use Division & Factor out Completely. (x 3 -4x 2 -9x+36);(x+3) State Each Factor! (x+3)(x-3)(x-4) Divide and Factor – 50 Points

14. What are the zeros of the following function? (x 3 -4x 2 -21x) x(x 2 -4x-21)=x(x-7)(x+3) The zeros are 0,7,-3 Roots and Zeros – 10 Points

15. Four roots of a polynomial equation with a rational coefficients are -17, -6-i, and 0. Which root is missing? -6+i Roots and Zeros – 20 Points

16. Roots and Zeros – 30 Points Write the polynomial function (in linear factors) that best associates with graph. x(x+1)(x-2)(x+4)

17. Describe the differences between a ‘zero of a function’ and an ‘x-intercept’. A zero of a function is a solution to the function that causes the function to equal zero. An x- intercept is where y=0 and when the line of the graph crosses the x-axis. Roots and Zeros – 40 Points

18. The polynomial 2x 5 +3x 3 - 2x+273 could possibly have how many imaginary roots? 0,2, or 4 Roots and Zeros – 50 Points

19. The number of appearances of a zero of a polynomial function describes the ______ of a zero. Multiplicity Define This – 10 Points

20. If a quotient of polynomial division results in a polynomial with no remainder, then the divisor is said to be a _____ of the dividend. Factor Define This – 20 Points

21. Define n! n!=n*(n-1)*(n-2)*…*1 Define This – 30 Points

22. Define: Rational Numbers Any integer numbers ‘a’ and ‘b’, (where b≠0) that can be written as a fraction a/b. Define This – 40 Points

23. A monomial or the sum of monomials. (What am I?) A Polynomial Define This – 50 Points

24. An arrangement of items in a particular order. What is a Permutation Perms and Combs – 10 Points

25. Solve: 7P27P2 7!/(7-2)!= (7*6*5!)/5!=7*6=21 Perms and Combs – 20 Points

26. What are the formulas for a Permutation and Combination? n!/(n-r)!=Permutation n!/(r!(n-r)!)=Combination Perms and Combs – 30 Points

27. Perms and Combs – ?? Points Determine whether the following situations would require calculating a permutation or a combination: (A.) Selecting three students to attend a conference in Washington, D.C. (B.) Selecting a lead and an understudy for a school play. (C.) Assigning students to their seats on the first day of school. A. Combination B.permutation C. permutation DAILY DOUBLE DAILY DOUBLE

28. Perms and Combs – 50 Points A car door lock has a five digit-button keypad. Each button has one number on it (1-5). How many different five-button patterns are possible? (You can use a button more than once.) n r =5 5 =3125

29. FINAL JEOPARDY The binomial expansion (2x-3) 5 could possibly have how many imaginary roots? 0 Imaginary Roots, They’re all REAL! FINAL JEOPARDY Rational Roots FINAL JEOPARDY Rational Roots