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Final Name That Function Divide and Factor Roots & Zeros Define This Perms & Combs 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 A monomial that is not involved with a variable is called this. Constant Name That Function – 10 Points Classify the Following Polynomial: x2+2-6x3+x-x5 x2+2-6x3+x-x5 5th Degree Polynomial Name That Function – 20 Points Classify the Following Polynomial: x2(x+2)(x-3) x4-x3-6x2 4th Degree Polynomial Name That Function – 30 Points 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? 7th Degree Polynomial Name That Function – 40 Points Classify the Following Polynomial: (a-b)4 What is the degree & how many terms are? 4th Degree Polynomial with 5 terms. One more than ‘n’. Name That Function – 50 Points (x2+2x+6)÷(x+2) The binomial (x+2) in this division problem is called The Divisor Divide and Factor – 10 Points Find the Quotient (x2+2x+6)÷(x+2)= (x+ 6/(x+2)) Divide and Factor – 20 Points Find the Quotient (4x3+3x2+2x)÷(x+3)= 4x2-9x+29-(87/(x+3)) Divide and Factor – 30 Points Find the Quotient (4x3+2x+1)÷(x2-3)= 4x+((14x+1)/(x2-3)) Divide and Factor – 40 Points Use Division & Factor out Completely. (x3-4x2-9x+36);(x+3) State Each Factor! (x+3)(x-3)(x-4) Divide and Factor – 50 Points What are the zeros of the following function? (x3-4x2-21x) x(x2-4x-21)=x(x-7)(x+3) The zeros are 0,7,-3 Roots and Zeros – 10 Points 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 Write the polynomial function (in linear factors) that best associates with graph. Roots and Zeros – 30 Points x(x+1)(x-2)(x+4) 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 xintercept is where y=0 and when the line of the graph crosses the x-axis. Roots and Zeros – 40 Points The polynomial 2x5+3x32x+273 could possibly have how many imaginary roots? 0,2, or 4 Roots and Zeros – 50 Points The number of appearances of a zero of a polynomial function describes the ______ of a zero. Multiplicity Define This – 10 Points 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 Define n! n!=n*(n-1)*(n-2)*…*1 Define This Points – 30 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 A monomial or the sum of monomials. (What am I?) A Polynomial Define This Points – 50 An arrangement of items in a particular order. What is a Permutation Perms and Combs – 10 Points Solve: 7 P2 7!/(7-2)!= (7*6*5!)/5!=7*6=21 Perms and Combs – 20 Points What are the formulas for a Permutation and Combination? n!/(n-r)!=Permutation n!/(r!(n-r)!)=Combination Perms and Combs – 30 Points Determine whether the following situations would require calculating a permutation or a combination: DAILY DOUBLE (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 Perms and Combs – ?? 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.) nr=55=3125 Perms and Combs – 50 Points FINAL JEOPARDY FINAL JEOPARDY The binomial expansion (2x-3)5 could possibly have how many imaginary roots? 0 Imaginary Roots, They’re all REAL! Rational Roots